Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Quiz - Page 461: 8

Answer

(a) $4$ (b) $5$ (c) $\frac{1}{16}$

Work Step by Step

(a) Use the formula $b^{log_by}=y$, we have $x=3^{log_34}=4$ (b) Use definition, $log_x(25)=2$ is equivalent to $x^2=25$, thus $x=5$ (discard negative answer). (c) Use definition, $log_4(x)=-2$ is equivalent to $x=4^{-2}=\frac{1}{16}$
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