# How do you solve e^(3k) = 5?

Dec 6, 2015

#### Answer:

$k = \ln \frac{5}{3}$

#### Explanation:

Take the natural logarithm on both sides and then use laws of logs to yield

$\ln {e}^{3 k} = \ln 5$

$\therefore 3 k \ln e = \ln 5$

$\therefore k = \ln \frac{5}{3}$