# How do you solve 3^(x+1)=15?

Apr 27, 2016

$x = \log \frac{5}{\log} 3 \approx 1.465$

#### Explanation:

First note that ${3}^{x + 1} = 3 \cdot {3}^{x}$, so we can divide both sides of the equation by $3$ to get:

${3}^{x} = 5$

Taking logs of both sides (any base), we get:

$x \log 3 = \log 5$

Hence:

$x = \log \frac{5}{\log} 3 \approx 1.465$