# How do you solve 12^(2x-8)=15?

##### 1 Answer

Refer to explanation

#### Explanation:

We take logarithms on both sides of the equation hence

${12}^{2 x - 8} = 15 \implies \left(2 x - 8\right) = \log \frac{15}{\log} 12 \implies x = \frac{1}{2} \cdot \left(\log \frac{15}{\log} 12 + 8\right)$