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3 years ago

5

Ardit has 8 chapters of a book left to read. He reads 2/3 of a chapter each day. How many days does it take to finish reading th

e book

1 answer:

abruzzese [7]3 years ago

6 0

3days=3chapters so he would have to read for 8 days

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I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

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2 years ago

Solve for x and y<br> y = 2x + 1<br> y = 4x - 1

Furkat [3]

the answer for y is 3

the answer for x is 1

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2 years ago

A line cook is paid at the end of each workday. His daily earnings include $74 plus X percent of the Restaurants total tip at th

Katen [24]

Hi idk but I’ll ask

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3 years ago

. Solve for the missing value (x).

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The missing value of x will be 9.6 mL.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The equation is given below.

12.5 mg : 5 mL = 24 mg : x mL

Then the value of x will be

12.5 / 5 = 24 / x

x = (24 × 5) / 12.5

x = 9.6 mL

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

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2 years ago

Find the MIDPOINT between (-12, – 7)<br> and (-8,-4).

DanielleElmas [232]

so you take the average of the x coordinates and the average of the y coordinates to get the midpoint like this

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3 years ago