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Q. 63

Expert-verified

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

Solve the equation $2^{- x} = 16$
and verify your results using a graphing utility

Required solution set is {-4}.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

$2^{- x} = 16$

Step 2. Calculations

$2^{- x} = 16 2^{- x} = 2^{4} i f a^{u} = a^{v} t h e n u = v x = - 4$

Step 3. Graphing solution

Graph $y = 2^{- x}$ and $y = 16$ intersect at (-4,16).

Hence the required solution set is {-4}.

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