Given log3 4 = 1.262 and log3 7 = 1.771, what is the value of log3 (7/16)?

Given Log3 4 = 1.262 And Log3 7 = 1.771, What Is The Value Of Log3 (7/16)?

Answers

Answer 1

Answer:

[tex]log_3(\frac{7}{16}) =-0.753[/tex]

Step-by-step explanation:

Use the laws of log()

[tex]log_x(\frac{a}{b}) =log_x(a)-log_x(b)[/tex]

[tex]log_3(\frac{7}{16}) =log_3(7)-log_3(16)[/tex]

[tex]log_3(\frac{7}{16}) =log_3(7)-log_3(4^2)[/tex]  you can move exponent outside of log()

[tex]log_3(\frac{7}{16}) =log_3(7)-2log_3(4)[/tex]  

[tex]log_3(\frac{7}{16}) =(1.771)-2(1.262)[/tex]

[tex]log_3(\frac{7}{16}) =-0.753[/tex]

Answer 2

The required value of log₃ (7/16) is 0.753 which is determined by properties of logarithms.

What are the properties of logarithms?

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

The functions of logarithmic are given in the question

log₃ 4 = 1.262 and log₃ 7 = 1.771

We have to determine the value of log₃ (7/16)

⇒ log₃ (7/16) = log₃ 7 - log₃ 16

⇒ log₃ (7/16) = log₃ 7 - log₃ 4²

Using property of logarithm logₐ(xⁿ) = n logₐx.

⇒ log₃ (7/16) = log₃ 7 - 2 log₃ 4

Substitute the values of log₃ 4 = 1.262 and log₃ 7 = 1.771 in the above equation,

⇒ log₃ (7/16) = 1.771 - 2(1.262)

⇒ log₃ (7/16) = 1.771 - 2.524

⇒ log₃ (7/16) = 0.753

Therefore, the required value of log₃ (7/16) is 0.753.

Learn more about the logarithmic properties here:

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Related Questions

Please help ill mark brainliest

Answers

Answer:

3(5x-4)=8x+2
15x-12=8x+2
15x-8x=2+12
7x=14
7x/7=14/7
x=2

The first step to solve should be distributing the 3.

Blanca can run 1 kilometer in 7.2 minutes. At that pace, how many kilometers can Blanca run in 50.4 minutes?

Answers

Answer:

7 minutes

Step-by-step explanation:

1 kilometer / 7.2 minutes

x kilometers/ 50.4 minutes

cross-multiply

x*7.2 = 1*50.4

divide by 7.2 both sides

x= 50.4/7.2= 7 minutes

At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?

Answers

Answer:

52 young calves

Step-by-step explanation:

At a dairy farm the ratio of adult milking cows to young calves was 9:2. If there were 234 adult milking cows at the farm, how many young calves were there?

The ration is given as:

adult milking cows to young calves

= 9 : 2

= 234 : x

= 9/2 = 234/x

x = Number of young calves

Cross Multiply

9 × x = 2 × 234

= x = 2 × 234/9

x = 468/9

x = 52

Hence, the number of young calves on the farm is 52.

The first equation of the system is multiplied by 2.By what number would you multiply the second equation to eliminate the x variable by adding? 6x - 5y = 21 4x + 7y = 15

Answers

Answer:

We have to multiply 4 with 3 to make it equal to 12.

Step-by-step explanation:

Given the two equations:

[tex]6x - 5y = 21\\ 4x + 7y = 15[/tex]

In elimination method for solving two linear equations in two variables, one variable is eliminated by making the coefficients of the variable equal to each other and then the equations are subtracted from each other so that only one variable remains.

Here, we have to eliminate [tex]x[/tex].

The coefficients are 6 and 4.

The least common multiple of 6 and 4 is 12.

So, we multiply 6 by 2 to make it equal to 12.

and we have to multiply 4 with 3 to make it equal to 12.

And then the two equation have to be subtracted from each other.

Answeer

what the other person said was right

Step-by-step explanation:

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Answers

Answer:

The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE

Step-by-step explanation:

AE is a continuous line with consistent slope.

AC is a segment of this line and is the hypotenuse of triangle ABC.

CE is also a segment of AE and is the hypotenuse of triangle CDE.

Hope this helps.

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Answers

Answer:

[tex]\frac{x}{4} + 3 = -7\\\\\frac{x}{4} = -10\\\\x = -40[/tex]

Suppose 3 rooms cost $596 and 5 rooms cost $860. Write an equation that represents the total cost for the number of rooms.

Answers

(3 • 596 + 5 • 860) can be the equation :)

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Answers

Answer:

C

Step-by-step explanation:

The Pythagorean Theorem says [tex]a^{2} +b^{2} =c^{2}[/tex], with c being the hypothomes, which is not part of the right angle. So, when you square a and b, you get [tex]c^{2}[/tex]. To find the value of c, you find its square root.

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What is the percent of change from 75 to 12

Answers

Answer:

-84%

Step-by-step explanation:

The marked price of an article is Rs.100. If its sold at Rs.80 , find the discount rate.

Please answer quick.

Answers

Answer:

20%

Step-by-step explanation:

Given parameters:

Marked price  = Rs. 100

Selling price  = Rs. 80

Unknown:

Discount rate  = ?

Solution:

The price on the label of an article is the marked price;

   Discount amount  = Marked price - selling price

                                  = Rs. 100  - Rs. 80

                                  = Rs. 20

Discount rate  = [tex]\frac{Discount }{Marked price } x 100[/tex]  

Discount rate  = [tex]\frac{20}{100}[/tex]  x 100  = 20%

A Robotics Club has 16 members. Each member pay monthly dues of $14.60. On the first day of the month 10 members paid their dues. The remaining members paid their dues on the second day of the month. How much money was collected on the second day of the month?

Answers

Answer:

Total cash collected= $87.6

Step-by-step explanation:

Giving the following information:

A Robotics Club has 16 members. Each member pay monthly dues of $14.60. On the first day of the month 10 members paid their dues.

To calculate the total cash collected on the second day, we need to use the following formula:

Total cash collected= unitary cost*number of members

Total cash collected= 14.6*6

Total cash collected= $87.6

Write the slope-intercept form for the equation of the line.

Answers

Slope intercept form is y=mx+b where m represents the slope and b is the y- intercept. From the graph we can see the y intercept is -4 and the slope is 2.
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Y=mx+b —> y=2x-4

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Answer:

infinity

Step-by-step explanation:

they are the same line on a graph so they have infinty solutions

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Answer:

71829x

Step-by-step explanation:

Answer:

The correct answer is option A

Step-by-step explanation

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Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14 inches high. The new photo will be 132 inches wide. What will the new height be? Round to the nearest inch if necessary.

104 inches

146 inches

154 inches

168 inches

Answers

Answer:

168

Step-by-step explanation:

photos are enlarged by a certain factor, divide the new width by the old width and youll get the factor (12).

You can then multiply the original height by 12 to get the answer

12 X 14 =168

Answer:

D: 168.

Step-by-step explanation:

Divide the new width by the old width to find the scale factor of 12. Then multiply 12 by the old length of 14 to get 168 the new length.

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Answers

Answer:

B

Step-by-step explanation:

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Which statement best describes the graphed function?


A.
The function has a relative maximum at (-2,4) and a relative minimum at (2,-4).
B.
The function has a relative minimum at (-2,4) and a relative maximum at (2,-4).
C.
The function has an absolute maximum at (-2,4) and an absolute minimum at (2,-4).
D.
The function has an absolute minimum at (-2,4) and an absolute maximum at (2,-4).

Answers

Answer:

The function has a relative maximum at (-2,4) and a relative minimum at (2,-4).

Step-by-step explanation:

The graph's highest point is at (-2,4) which would be considered the relative maximum of the graph. The graph's lowest point is at (2,-4) which is the relative minimum. Therefore the relative maximum is at (-2,4) and the relative minimum is at (2,-4)

Answer:

The function has a relative maximum at (-2,4) and a relative minimum at (2,-4).

Step-by-step explanation:

Plato/Edmentum

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Answers

Answer:

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Answers

Answer:

.35/100

Step-by-step explanation:

35 cents over 1.00

Answer:

7/20 is the simplest form

Step-by-step explanation:

There were 20 cups of pudding left in the cafeteria after lunch. The lunch aide poured the extra pudding into quart sized containers how many quart sized containers will she need?

Answers

Answer:

5

Step-by-step explanation:

1 galon =16 tazas

1/4 de galon=4 tazas

1+.25= 1.25 ó 1+1/4=1, 1/4 y eso lo multiplico por 4

1.25 ×4= 5


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Answers

Answer:

yes, correct me if im wrong

Step-by-step explanation:

No it is not a direct variation or A

By coincidence, Kimberly's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 9-liter containers while blue paint is sold in 12-liter containers. What is the smallest amount of each paint color the store must have sold?

Answers

Answer:

36 liters

Step-by-step explanation:

We solve this question using the least common multiple method

Find and list multiples of the liter the blue paint comes in the liters the yellow paint comes in. We find the first common multiple is found. This is the least common multiple.

Multiples of 9:

9, 18, 27, 36, 45, 54

Multiples of 12:

12, 24, 36, 48, 60

Therefore,

LCM(9, 12) = 36

Hence, the smallest amount of each paint color the store must have sold is 36 liters

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Answers

Answer:

V/3k = t

Step-by-step explanation:

Isolate the variable (t)

V = 3k/t

We have to get rid of 3 and k to isolate t

Since 3 and k are part of a fraction we can multiply it by their reciprocal

V = 3k/t × 1/3k

What we do to one side, we must do to the other

V × 1/3k = 3k/t × 1/3k

The reciprocals equals 1

V × 1/3k = t × 1

Any number or variable multiplied by 1 equals itself (applies to both sides of the equation)

V/3k = t

Find the value of X for the given pentagon?

Answers

Answer:

x = 44°

Step-by-step explanation:

The sum of the exterior angles of any polygon my be 360°, so just add all the angles up, and subtract this from 360°.

Given a pentagon with exterior angles: 102°, 47°, 34°, and 133° with the missing angle x°.

To find the missing angle, first write an equation representing the given rule:

102° + 47° + 34° + 133° + x° = 360°

(316°) + x° = 360°

316° + x° - 316° = 360° - 316°

x° = 44°.

This way, because the rule must be true, the missing angle with this value will satisfy this:

102° + 47° + 34° + 133° + 44° = 360°

For this topic, here are some general angle rules for polygons:

n is the number of sides180° (n – 2) = sum of interior angles of any polygon.180° (n – 2) / n = each interior angle of a regular polygon [all sides and or angles the same measure / congruent].360° = sum of exterior angles of any polygon.360° / n = each exterior angle of a regular polygon. [all sides and or angles the same measure / congruent].

Find the slope of the line passing through the two points.

(12, 1), (36, 42)

Answers

Answer:

m=41/24

Step-by-step explanation:

The slope of the line passing through the points (12, 1), (36, 42) is m=41/24.

Answer:

To find slope, we need to use the slope formula*.

42 - 1/36 -12 = 41/24

m = 41/24

Help 2.0 mathhhhhhhhhhh

Answers

Answer:

the answer is -13/15

Step-by-step explanation:

hope this helps

What is the binary number for 26​

Answers

the binary number for 26 is 11010

I’ll Mark u as brainless if you solve this

Answers

i think the person below me is correct and the answer is 12

Answer:

M  equals 12

I hope this helps you.

Find the total surface area of this cuboid,
5 cm
4 cm
6 cm

Answers

The total surface area of the cuboid is 120 cm2

The cost of 5 pounds of vegetables is $7.55. What is the constant of proportionality that relates the cost of dollars, y,
to the number of pounds of vegetables, x?_(Write a numeric value in decimal form. Do not include units)

Answers

Answer:

1.51

Step-by-step explanation:

[tex]y[/tex] = Cost in dollars of vegetables

[tex]x[/tex] = Number of pounds of vegetables

[tex]y\propto x[/tex]

[tex]\Rightarrow y=kx[/tex]

where k = Constant of proportionality

[tex]k=\dfrac{y}{x}[/tex]

In one case

[tex]y = 7.55\$[/tex]

and [tex]x = 5\ \text{pounds}[/tex]

[tex]k=\dfrac{7.55}{5}\\\Rightarrow k=1.51[/tex]

The constant of proportionality is 1.51.

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