There will be more than a percentage of 33 % of households that have an interfaith marriage from 2017 onwards.
How to analyze and interpret linear equations
In this problem we find a linear equation that models the percentage of households with an interfaith marriage in time. The expression indicates that the percentage increases uniformly in time. Herein we must look up for the year, from which the percentage is at least 33 % greater. Then:
I = (1 / 4) · x + 23
(1 + 33 / 100) · 23 = (1 / 4) · x + 23
30.59 = (1 / 4) · x + 23
(1 / 4) · x = 7.59
x = 30.36
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-36<3p-6<-15 Show steps Please
Answer:
the part of the male private part that produces sperm is the testicles
Edit:
i just realized i answered the wrong question
6. Which biconditional is not a good definition?
A. Two angles are supplementary if and only if the sum of their angles measures 180 degrees.
B. Two angles are vertical angles if and only if they are nonadjacent and are formed by two intersecting lines.
C. Two angles form a linear pair if and only if the angles are adjacent.
D. The sum of two angles is 90 degrees if and only if they are complementary.
------------------------------------------
11. Use the Law of Syllogism to determine whether a valid conclusion can be reached from the set of statements/ If a valid conclusion is not possible, choose "not possible."
If you are 18 years old, then you are in college.
If you are in college, then you are not done learning.
A. You are at least 18 years old.
B. If you are 18 years old, then you are not done learning.
C. You are no more than 18 years old.
D. not possible
-------------------------------------------------
12. Write the converse of the following true conditional statement. If the converse is false, write a counterexample.
If you are 18 years old, then you may be eligible to join the U.S. military.
A. if you are eligible to join the U.S. military, then you are 18 years old; true.
B. If you are not 18 years old, then you are not eligible to join the U.S. military; true
C. If you are eligible to join the U.S. military, then you are 18 years old; false.
counterexample: You are eligible to join the U.S. military and you are not 18; you are 19.
D. if you are not 18 years old, then you are not eligible to join the U.S military; false.
counterexample: You are eligible to join the U.S. military and you are not 18; you are 19.
----------------------------------------
Best answer will get brainliest.
The correct response is [C]: If and only if the angles are nearby, two angles form [a] linear pair.
Think about the response option shown in "Answer choice: [C]":
If and only if the angles are contiguous, two angles constitute a linear pair.
Then, think about the next:
1) "Two additional angles make a linear pair."
Is this a fact? Of course, but not always. (In other words, "sometimes") By definition, a "linear pair" of angles IS supplementary, but not all supplementary pairs of angles are linear pairs. In order for supplementary angles to also be "linear angles," they MUST ALSO BE ADJACENT.
2) "Two vertical angles are next to each other." Is this a fact? It's not true; it never is.
In light of the fact that this biconditional is NOT an acceptable definition, answer choice "C" is the one that is appropriate. This can be determined by looking at all the other options.
Think about the other response options:
The maxim "Two angles are supplementary if and only if the total of their angles measures 180" is the correct response.
is WRONG despite being a nice definition:
1) The total of the measurements of two additional angles is 180 degrees.
2) Two angles are supplementary if the total of their measurements equals 180 degrees.
"Two angles are vertical angles only if they are not close to one other and are produced by two intersecting lines," is the correct response (option B);
is WRONG despite being a nice definition:
1) Nonadjacent angles are those created by two crossing lines when two angles are vertical.
2) Two angles are vertical angles if they are nonadjacent angles created by two intersecting lines.
The sum of two angles equals 90 if and only if both angles are complementary (answer option [D]);
is WRONG despite being a nice definition:
1) The total of two complimentary angles' measurements equals 90 degrees.
2) Two angles are complimentary if the total of their [measured] is 90 degrees.
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Evaluate each logarithm. log₇7
The simplification of the logarithmic expressions log₇7 is 1.
What is defined as logarithmic expressions?Logarithmic terms represent numbers in logarithmic form. It's also known as a log term.
A quantity can also be defined as the sum of two or much more quantities. As a result, a term may be the product of 2 different or more quantities, one of which must be in log form. Log terms are used in such cases.
A quantity can also be defined as the product of two quantities. As a result, if a term includes a quotient of amount, and at least a single quantities could be articulated in log form, the conditions are referred to mathematically as log terms.
Quotient Rule: ㏒(A/B) = ㏒A - ㏒BProduct Rule : ㏒A + ㏒B = ㏒(AB)Power Rule: n㏒A = ㏒AⁿBase Rule = ㏒ₐb = ㏒ₓb/㏒ₓaExponent Rule = e∧lnx = xNow, as the e=question stated;
= log₇7
Apply the Base Rule for solving the given expression;
So, the expression can be written as
= ㏒ₓ7/㏒ₓ7
Both terms will get cancelled as both have same value with similar base.
= 1
Therefore, the simplified form of the given logarithmic expressions log₇7 is 1.
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Which graph correctly shows the system of equations {x−2y=4y=2x+4?
Which graph correctly shows the system of equations [tex]\left \{ {{x-2y=4} \atop {y=2x+4}} \right.[/tex] ?
Correct graph for the system of equations is 3rd graph.
We graph the collection of ordered pairs that make up the equation's solution when graphing a system of equations in two variables.
The universal equation for any straight line is y=mx+c. m is the line's slope, and c is the y-intercept.
First, we take the equations as x-2y=4 as equation (1) and y=2x+4 as equation (2).
Now solve the equation (1)
x-2y=4
The equation is not in the form of y=mx+c.
So, we write as y= [tex]\frac{1}{2}[/tex]x-2
Here, slope m=[tex]\frac{1}{2}[/tex] and y-intercept is (0,-2).
If we take x=2 we get y=-1.
y= [tex]\frac{1}{2}[/tex](2)-2
y=1-2
y=-1
Now we have 2 solution for the equation (1) that are (0,-2) and (2,-1).
If we see the third graph in the given options.
There is a blue straight line and that is the line for equation (1) there we can see the points (0,-2) and (2,-1).
Now solve the equation (2)
y=2x+4
The equation is in the form of y=mx+c.
Here, slope m=2 and y-intercept is (0,4).
If we take x=1 we get y=6.
y= 2(1)+4
y=2+4
y=6
Now we have 2 solution for the equation (2) that are (0,4) and (1,6).
If we see the third graph in the given options.
There is a green straight line and that is the line for equation (2) there we can see the points (0,4) and (1,6).
Therefore, the correct graph for the given system of the equation[tex]\left \{ {{x-2y=4} \atop {y=2x+4}} \right.[/tex] is the third graph.
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Side ______ is missing, which is a ______
.
Side height is missing, which is a 6[tex]\sqrt{30}[/tex].
For the right angle triangle we have a formula:
[tex]hypotenuse^{2}[/tex] = [tex]height^{2}[/tex] + [tex]base^{2}[/tex]
Here Hypotenuse and the base are given, we have to find the height of the triangle.
Hypotenuse = 37
Base = 17
To find the height of the triangle we have:
[tex]height^{2}[/tex] = [tex]Hypotenuse^{2}[/tex] - [tex]base^{2}[/tex]
= [tex]37^{2}[/tex] - [tex]17^{2}[/tex]
= 1369 - 289
= 1080
Height =[tex]\sqrt{1080}[/tex]
= 6√30
Therefore the height of the triangle is 6√30.
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Work out the size of one exterior angle of a regular hexagon.
Answer:60 degrees
Step-by-step explanation: hexagon is 360 degrees. has 6 sides. 360 divided by 6= 60 degrees
When you are performing multiple transformations it is called?
When you are performing multiple transformations it is called a composite transformation.
A number of transformations or sequence of transformations that can be combined into a single transformation is called as composition. The resulting matrix is known as composite matrix. The process of combining is known as concatenation.
A composite transformation (or a composition of transformations) refers to the two or more transformations performed one after the other. For example: a translation followed by a reflection which is again followed by a rotation. Another example can be: a rotation followed by a translation or a rotation followed by a reflection.
Therefore, when you are performing multiple transformations it is called a composite transformation.
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Use the distributive property to find the product of 4 (3z+5+2y^2-2x-1). Write your answer in standard form.
The product using the distributive property is 12z+8y²-8x+16 in the standard form.
The distributive law, which states that a × (b + c)=(a × b)+(a × c), is generalized by the distributive property of binary operations.
In every scenario, the distributive property can be summed up as follows:
Each summand (or minuend and subtrahend) is multiplied by this factor, and the resulting products are added, to multiply a sum (or difference) by a factor (or subtracted).
This concept states that multiplying the sum of two addends by a number will produce the same outcome as multiplying each addend separately by the number and then adding the results.
Given product: 4×(3z+5+2y²-2x-1)
Using the distributive property we can write it as:
= (4×3z)+(4×5)+(4×2y²)-(4×2x)-(4×1)
= 12z+20+8y²-8x-4
= 12z+8y²-8x+16
So the product using the distributive property is 12z+8y²-8x+16 in the standard form.
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What is the following product? Assume b greater-than-or-equal-to 0
StartRoot b EndRoot times StartRoot b EndRoot
b StartRoot b EndRoot
2 StartRoot b EndRoot
b
b2
It should be noted that the product of ✓b × ✓b = b.
How to calculate the value?From the information, it should be noted that we want to find the product of ✓b × ✓b.
In this case, it's important to multiply the roots
Therefore, ✓b × ✓b = ✓b²
Then, we will rewrite the expression. In this case, it should be noted that the square root will cancel the square.
Therefore, the product of ✓b × ✓b = b.
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Answer:
Step-by-step explanation:
b
Brody is older than Nathan. Their ages are consecutive odd integers. Find Brody's age
if the sum of Brody's age and 5 times Nathan's age is 80.
Answer:
41
Step-by-step explanation:
how all work! 1) Find two consecutive odd integers with a sum of 80. Let x= first consecutive integer 39. Let x+2= second. 41. 2x=78 x+x+2= 80. 2x+2=80.
X= 39 & 41
A tire swing hangs 12 feet above the water. A swimmer is 40 feet away from the swing (horizontally). What is the angle of elevation from the swimmer to the tire swing?
Draw a picture!
You get a right triangle with hypotenuse = 20 ft and horizontal leg = 12 ft
Use the Pythagorean Theorem to find the length of the vertical leg:
vertical leg = √(20²-12²) = √256 = 16 ft
12.A student is finding the
total cost c, including sales tax, of a book
that costs $9.95. The sales tax rate is 9%.
Find the student's mistake and correct it.
C = 1.9 x 9.95
C≈ 18.91
C≈ $18.91
The total cost of the book including the sales tax is $10.85.
What is defined as the percentage increase?The percentage increase would be the difference between the final and initial values expressed as a percentage. In other statements, it is the difference between final and initial values divided by the initial value and multiplied by 100.For the given question;
The original price of the book is $9.95.
The sales tax rate is 9%.
Then, 9% of 9.95 is;
= (9×9.95)/100
= 0.8955
The total cost will become;
Selling cost = original cost + sales cost
Selling cost = 9.95 + 0.8955
Selling cost = 10.84555
or rounding off.
Selling cost = $10.85.
The mistake done by the student is, he multiplied the original cost 9.95 by 1.9 which is incorrect.
Thus, the cost of the book is estimated as $10.85.
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The apparent brightness of stars is measured on a logarithmic scale called magnitude, in which lower numbers mean brighter stars. The relationship between the ratio of apparent brightness of two objects and the difference in their magnitudes is given by the formula
m₂-m₁=-2.5 log b₂ / b₁ , where m is the magnitude and b is the apparent brightness.
How many times brighter is a magnitude 1.0 star than a magnitude 2.0 star?
A magnitude 1.0 star is about 2.5 times brighter than a magnitude 2.0.
What is logarithmic equation ?In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as .
[tex]log_ax=N[/tex]
where, a is the base of function or equation
x = expression or equation
Mathematically, if [tex]a^N=x[/tex] is an exponential function then, this can be converted to logarithmic function as [tex]log_ax=N[/tex].
There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.
Some important formulas of logarithms are :
log_c a × b = log_c a + log_c b , c is the baselog a/b = log a - log blog a^x = x log alog a^a = 1log (√x) = 1/2 log (x)We use the given formula:
[tex]m_2 - m_1 = -2.5 log \frac{b_2}{b_1}[/tex]
now m2 = 2.0 and m1 = 1.0
Hence,
[tex]m_2 - m_1 = -2.5 log \frac{b_2}{b_1}\\\\= > 2.0 - 1.0 = -2.5 log \frac{b_2}{b_1}\\\\= > -1.0 = -2.5 log \frac{b_2}{b_1}\\\\= > log \frac{b_2}{b_1} = 0.4\\\\= > \frac{b_2}{b_1} = 10^{0.4} = 2.5 approx.[/tex]
Thus, magnitude 1.0 star is about 2.5 times brighter than the magnitude 2.0 star.
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Round 274.886850722 to the nearest hundredth.
Answer:
274.89
Step-by-step explanation:
Answer: 274.89
Step-by-step explanation: You look at the nearest hundredth and which is 2 numbers right of the decimal and see if the number in the hundredths place is higher or lower than 5 if it is 5 or above you round up if not you round down.
The points K(6,-4) L(6,3), M(-2,6) and N(-2,-1) form parallelogram KLMN. Plot the points then click the "Graph Quadrilateral" button. Then find the perimeter of the parallelogram. Round your answer to the nearest tenth if necessary.
Answer:
31 units
Step-by-step explanation:
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
The system of equations has exactly one solution.
How to calculate the value?Based on the information given, the equation is illustrated as:
2x - 3y = -4
-3x - 3y = 3
Add both equations
5x = -1
Divide
x = -1/5
Since 2x - 3y = -4
2(-1/5) - 3y = 4
-2/5 - 3y = 4
3y = -2/5 - 4
3y = - 4 2/5.
Divide
y = -4 2/5 ÷ 3
y = 1 7/15
Therefore, the system of equations has exactly one solution as the value of x and y are gotten.
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You can use the numbers and the units more than once.
Using proportions, some equivalent measurements are given as follows:
1 centimeter - 0.01 meters.1 hour - 60 minutes.24 minutes - 0.4 hour.12 minutes - 1/5 hour.3 and 1/3 feet - 40 inches.What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for unit conversion problems, as unit conversion involve rates between the variables.
Each meter has 100 centimeters, hence:
1 centimeter - 0.01 meters.
Each hour has 60 minutes, hence:
1 hour - 60 minutes.24 minutes - 0.4 hour.12 minutes - 1/5 hour.Each feet has 12 inches, hence:
3 and 1/3 feet - 40 inches.
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Suppose there is a 1.1 degree drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 59.5 degrees, what will be the temperature when the plane reaches an altitude of 8,000 feet? Express your answer as a decimal
please asap
The temperature when the plane reaches an altitude of 8,000 feet is 50.7°.
How to calculate the value?From the information, there is a 1.1 degree drop in temperature for every thousand feet that an airplane climbs into the sky and the temperature on the ground is 59.5 degree
Therefore, the temperature when the plane reaches an altitude of 8,000 feet will be:.
= 59.5 - 1.1(8000/1000)
= 59.5 - 1.1(8)
= 59.5 - 8.8
= 50.7
Therefore, the temperature when the plane reaches an altitude of 8,000 feet is 50.7°.
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2.
The expression (x^19)(x^-33) is equivalent to (x^p) What is the value of p?
With Equivalent expressions, the value of the p is -14.
According to the statement
We have to find that the value of the p.
So, For this purpose, we know that the
Equivalent expressions are expressions that work the same even though they look different.
From the given information:
The given values is:
(x^19)(x^-33) = (x^p)
Now, use the method of add the terms bcz in this the base will a same then powers will be add.
(x^19-33) = (x^p)
After adding the power of the x become:
(x^-14) = (x^p)
After comparing the both equations,
The values of the p become -14.
Then p = -14.
So, With Equivalent expressions, the value of the p is -14.
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Flying Home A bird flies from the bottom of a canyon that is 57 1/5 feet below sea level to a nest that is
664 7/10 feet above sea level. What is the difference in elevation between the bottom of the canyon and
the bird's nest?
Answer:
Exact Form:
1215 / 2
Decimal Form:
607.5
Mixed Number Form:
607 1/2
A figure is translated 3 units to the right and down 2 units. Select the algebraic
expression that shows how the translation affects the coordinates of the preimage.
Option 2, (x, y) --> (x + 3, y - 2) is the algebraic expression that shows how the translation affects the coordinates of the preimage.
Here, we are given that a figure is translated 3 units to the right and two units down.
Now, if the original coordinates of the figure are (x, y), as given in all the options, let us look at the effect of the transformation.
3 units right the x coordinate will increase by 3 units
thus x becomes (x + 3)
2 units down = the y coordinate will decrease by 2 units
thus y becomes (y - 2)
Hence, the new coordinates of the figure become {(x + 3), (y - 2)} Therefore, option 2, (x, y) --> (x + 3, y - 2) is the correct answer.
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Your question was incomplete. Check for the full content below
A figure is translated 3 units to the right and down 2 units. Select the algebraic expression that shows how the translation affects the coordinates of the pre image.
1. (x, y) --> (x-3, y + 2)
2. (x, y) --> (x + 3, y - 2)
3. (x, y) --> (x + 3, y - 2)
4.(x, y) --> (9x, 3y)
Solve this Equation ASAP
1.) 7z(2a³+5)
2.) 5p(3s-4t)
The values of the equation will be:
7z(2a³+5) = 14a³z + 35z
2.) 5p(3s-4t) = 15ps - 20pt
How to illustrate the information?It should be noted that an equation is used to express the relationship between the variables.
Therefore, the equation will be solved by simply opening the brackets and multiplying them. This will be:
7z(2a³+5) = 14a³z + 35z
5p(3s-4t) = 15ps - 20pt
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3(4x—8)=36
I need help ASAPP
Answer:
x=5
Step-by-step explanation:
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
4x - 8 = 4 • (x - 2)
Equation at the end of step
2
:
(0 - 12 • (x - 2)) - -36 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
60 - 12x = -12 • (x - 5)
Equation at the end of step
4
:
-12 • (x - 5) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : -12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : x-5 = 0
Add 5 to both sides of the equation :
x = 5
The quotient of 4 and the difference of 7 and a number.
Answer:
10
Step-by-step explanation:
(x + 4)/7=10
The number is -28.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
quotient of a number and 4 is -7
let the number be x
So, n/4 = -7
n= 4 x (-7)
n= -28
Hence, the number is -28.
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Solve an equation based on the following description: “11 less than three times a number, n, is the same as 75 less than the product of -1 and the number”
The solution to the equation based on the description given is: n = -16.
How to Solve an Equation?First, we need to translate each given statement into algebraic expressions.
"11 less than 3 times n" can be translated as: 3 × n - 11 = 3n - 11
"75 less than the product of -1 and n" would be translated as: (-1)(n) - 75 = -n - 75.
It is stated that both statements or description are the same. This means, they are equal to each other. Therefore, the equation that would be formed is:
3n - 11 = -n - 75
Solve for n
3n - 11 + n = -n - 75 + n [addition property of equality]
4n - 11 = - 75
4n - 11 + 11 = - 75 + 11 [subtraction property of equality]
4n = -64
Divide both sides by 4
4n/4 = -64/4 [division property of equality]
n = -16
Therefore, the solution to the equation based on the description given is: n = -16.
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A student said that 4 and 1 are the solutions of the problem shown. Describe and correct the student's error.
The student's error is not checking the solutions by keeping the values in problem equation. The correct solution is 4.
Rewriting the equation to find the solution of expression -
√x+2=x
Shifting 2 to Right Hand Side of the equation
√x = x - 2
Taking square on both sides
(√x)² = (x - 2)²
Solving the bracket on both sides of the equation -
x = x² - 4x + 4
Solving the equation for the value of x by factorizing it
x² - 4x - x + 4 = 0
x² - 5x + 4 = 0
x² - 4x - x + 4 = 0
x(x - 4) -1(x - 4) = 0
(x - 4) (x - 1) = 0
x = 4, 1
Keep the value of x to validate the result and find correct solution -
x = 1
√x+2=x
√1 + 2 = 1
1 + 2 = 1
3 ≠ 1
x = 4
√4+2=4
2 + 2 = 4
4 = 4
Hence, the correct solution is 4.
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The complete question is -
A student said that 4 and 1 are the solutions of the problem shown. Describe and correct the student's error. √x+2=x
How many terms are in the following expression?
3xy2 + 4xy -2y + 7x
6
4
5
3
Mrs linesman deposits 500 dollars into a bank account that earns 4 percent simple interest per year what is the total amount in her account after 1 year
she has $520 after 1 year.
Step-by-step explanation:
principal= 500dollars
rate= 4%
time=1 year
simple interest=principal x rate x time
100
simple interest= 500 x 4 x 1 = 2000/100 = 20
100
To find total amount money in the account
= simple interest + principal
= 20 + 500
= 520dollars
ZA and ZB are complementary angles. If mA = (7x + 18)° and m
LB = (5x - 12)°, then find the measure of ZA.
The measure of ∠A = ∠67°.
Complementary angle
The sum of two angles is equal to 90 degrees is called a complementary angle.
Here it is given that ∠A and ∠∠B is a complementary angle
So from this, we have
m ∠A + m ∠B = 90°
m ∠A = (7x + 18)°
m ∠B = ( 5x - 12)°
So we have,
(7x + 18)° + ( 5x - 12)° = 90°
(12x + 6 )° = 90°
12x = 84°
x = 7°
Now we will put the value of x in the mA equation,
mA = (7x + 18)°
= (7× 7 + 18)°
= (49 + 18)°
= 67°
Therefore we get ∠A = 67°.
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Use the Change of Base Formula to rewrite each expression using common logarithms. log₃ 16
The logarithmic expression log₃ 16 changed by the base rule is 2.52.
What is represent as logarithmic expression?The inverse about an exponential function is a logarithmic or log function. To find an exponent, we could use a log function.
To analyze earthquake magnitudes or compare the magnitudes of 2 distinct earthquakes, we must be able to transform among logarithmic and exponential forms.
Let's use this data to create our log. The logarithmic function is as follows:
Quotient Rule: ㏒(A/B) = ㏒A - ㏒BProduct Rule : ㏒A + ㏒B = ㏒(AB)Power Rule: n㏒A = ㏒AⁿBase Rule = ㏒ₐb = ㏒ₓb/㏒ₓaExponent Rule = e∧lnx = xNow, for the stated conditions;
= log₃ 16
Using the Base Rule of log functions, the above expression can be written as,
= ㏒ₓ16/㏒ₓ3
If the base is taken as 10. Then the expression will become.
= ㏒₁₀16 /㏒₁₀3
= 1.204/0.477
= 2.52
Therefore, the value of the given log expression log₃ 16 is obtained as 2.52.
To know more about the Base Rule, here
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