# How do you solve ln10+ln(5x-2)=3?

Sep 2, 2016

$x = 0.80172$

#### Explanation:

$\ln 10 + \ln \left(5 x - 2\right) = 3$

hArrln(10×(5x-2))=3 or

$\ln \left(50 x - 20\right) = 3$

Hence ${e}^{3} = 50 x - 20$ or

$50 x = {e}^{3} + 20$ or

$x = \frac{20.086 + 20}{50}$ or

$x = \frac{40.086}{50} = 0.80172$