Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - Chapter Review - Review Exercises - Page 114: 71



Work Step by Step

$6^{p}=17\qquad \color{blue}{\text{ ...apply ln(...) to both sides } }$ $\ln 6^{p}=\ln 17\qquad \color{blue}{\text{ ...apply } \log_{a}x^{r}=r\log_{a}x}$ $p\ln 6=\ln 17\qquad \color{blue}{\text{ ... } /\div \ln 6}$ $p=\displaystyle \frac{\ln 17}{\ln 6}$ $\approx$ $1.581$
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