# How do you solve 4ln3x=15?

Dec 1, 2015

Use exponentiation to solve ...

#### Explanation:

$4 \ln \left(3 x\right) = 15$

$\ln 3 x = \frac{15}{4} = 3.75$

Now, exponentiate both sides ...

${e}^{\ln 3 x} = {e}^{3.75}$

Simplify and solve for x ...

$3 x = {e}^{3.75}$

$x = \frac{{e}^{3.75}}{3} \approx 14.1737$

hope that helped