Question 2.54: If 460(1.08)^n = 925, what is n?...

\begin{aligned} 460(1.08)^n &=  925 \\ (1.08)^n &=  2.0108696 \end{aligned}

Putting in log form

\begin{aligned} n \log 1.08 &=  \log 2.0108696 \\ n &=  \frac{\log 2.0108696}{\log 1.08 } &=  \frac{0.3033839}{0.0334238} \\ &=  9.0768945 \end{aligned}