Precalculus (6th Edition)

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

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Summary Exercises on Inverse, Exponential, and Logarithmic Functions - Exercises - Page 449: 29

Answer

$-3$

Work Step by Step

We have $216=6^3$ and $(\frac{1}{216})=6^{-3}$, thus $x=log_6(\frac{1}{216})=log_6(6^{-3})=-3$
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