# How do you solve 10ln100x-3=117?

Sep 1, 2016

$x = {e}^{12} / 100$

#### Explanation:

the given equation is equivalent to:

$10 \ln \left(100 x\right) = 117 + 3$

$10 \ln \left(100 x\right) = 120$

$\ln \left(100 x\right) = \frac{120}{10}$

$\ln \left(100 x\right) = 12$

$100 x = {e}^{12}$

$x = {e}^{12} / 100$