Question

4 x 5^3.2a = 29

Salve each equation

Answer 1

\[
\begin{align}
4 \cdot 5^{3.2a} &= 29\\
5^{3.2a} &= \frac{29}{4}\\
\ln{5^{3.2a}} &= \ln{\frac{29}{4}}\\
3.2a\cdot \ln{5} &= \ln{\frac{29}{4}}\\
a &= \frac{\ln{29/4}}{3.2\ln5}
\end{align}
\]

Answer 2

Where did ln5 go?

Answer 3

Divided through.