Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.3 - Exponential Functions - Exercise Set: 23

Answer

$x=\dfrac{3}{4}$

Work Step by Step

$16^{x}=8$ Rewrite this equation as $(2^{4})^{x}=2^{3}$: $(2^{4})^{x}=2^{3}$ Rewrite the left side of the equation as $2^{4x}$: $2^{4x}=2^{3}$ If $2^{4x}=2^{3}$, then $4x=3$ $4x=3$ Solve for $x$ by taking the $4$ to divide the right side: $x=\dfrac{3}{4}$
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