# How do you solve 4ln(2x+3)=11?

Jul 14, 2016

$x = 6.3213$

#### Explanation:

As $4 \ln \left(2 x + 3\right) = 11$,

$\ln \left(2 x + 3\right) = \frac{11}{4} = 2.75$ or

$2 x + 3 = {e}^{2.75} = 15.6426$ or

$2 x = 15.6426 - 3 = 12.6426$ or

$x = \frac{12.6426}{2} = 6.3213$