# Math Help - solve log equation for x

1. ## solve log equation for x

ln(x)+3ln(2)+1=0

2. HELLO

First, isolate for the term in $x$ :

$\ln{(x)} + 3 \ln{(2)} + 1 = 0$

$\ln{(x)} = - 3 \ln{(2)} - 1$

Now exponentiate with base $e$ :

$x = e^{- 3 \ln{(2)} - 1}$

This is approximatively equal to :

$x \approx 0.046$

And can be written as a fraction as follows :

$x = \frac{1}{8e}$