Chapter 2 - Nonlinear Functions - Chapter Review - Review Exercises - Page 114: 72

$z\approx 4.183$

$3^{z-2}=17\qquad \color{blue}{\text{ ...apply ln(...) to both sides } }$ $\ln 3^{z-2}=\ln 11\qquad \color{blue}{\text{ ...apply } \log_{a}x^{r}=r\log_{a}x}$ $(z-2)\ln 3=\ln 11\qquad \color{blue}{\text{ ... } /\div\ln 3}$ $z-2=\displaystyle \frac{\ln 11}{\ln 3}$ $z=\displaystyle \frac{\ln 11}{\ln 3}+2$ $z\approx 4.183$