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Q. 81

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Precalculus Enhanced with Graphing Utilities

Found in: Page 284

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

If $4^{x} = 7$ , what does $4^{- 2 x}$ equal?

The value of $4^{- 2 x}$ is $\frac{1}{49}$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

Given :

$4^{x} = 7$

We have to find $4^{- 2 x}$

Step 2. Write expression to be found in terms of given expression.

$4^{- 2 x} = {(4^{x})}^{- 2}$

Step 3. Put the given value in the expression and solve.

${(4^{x})}^{- 2} = {(7)}^{- 2} = \frac{1}{7^{2}} = \frac{1}{49}$

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

If $4^{x} = 7$ , what does $4^{- 2 x}$ equal?

Step by Step Solution

Step 1. Given Information

Step 2. Write expression to be found in terms of given expression.

Step 3. Put the given value in the expression and solve.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

If 4x=7 , what does 4-2x equal?

Step by Step Solution

Step 1. Given Information

Step 2. Write expression to be found in terms of given expression.

Step 3. Put the given value in the expression and solve.

Most popular questions for Math Textbooks

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If $4^{x} = 7$ , what does $4^{- 2 x}$ equal?