# How do you solve 9^(x-4)=7.13?

Apr 1, 2018

Solution: $x \approx 4.894$

#### Explanation:

${9}^{x - 4} = 7.13$ . Taking natural log on both sides we get,

$\left(x - 4\right) \ln 9 = \ln 7.13$

$\therefore \left(x - 4\right) = \ln \frac{7.13}{\ln} 9$ or

$\left(x - 4\right) \approx 0.894 \therefore x \approx 4 + 0.894 \approx 4.894$

Solution: $x \approx 4.894$ [Ans]