Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.2 - Exponential Functions - Exercise Set: 103

Answer

$\dfrac{1}{64}$

Work Step by Step

RECALL: $\log_b{x}=y \longrightarrow b^y=x.$ Use the rule above to write the given equation in exponential form, then solve the equation to obtain $\begin{array}{ccc} &4^{-3} &= &x \\&\frac{1}{4^3} &= &x \\&\frac{1}{64} &= &x \end{array}.$ Thus, $x=\dfrac{1}{64}$.
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