# How do you solve 5^(x-6)=18?

Sep 16, 2016

$x = 7.7959$

#### Explanation:

Taking logarithm for ${5}^{x - 6} = 18$, we get

$\left(x - 6\right) \log 5 = \log 18$ or

$\left(x - 6\right) \times 0.6990 = 1.2553$ or

$x - 6 = \frac{1.2553}{0.6990} = 1.7959$ or

$x = 7.7959$