# How do you solve 1.3^x = 8?

Feb 25, 2016

$x = \frac{\log 8}{\log 1.3}$

$= 7.92578$

#### Explanation:

Take log on both sides and then use the laws of logs to simplify and solve.

$\therefore \log {1.3}^{x} = \log 8$

$\therefore x \log 1.3 = \log 8$

$\therefore x = \frac{\log 8}{\log 1.3}$

$= 7.92578$