# How do you solve this logarithmic equation?

## $3 \ln x - 7 = 4$

Nov 21, 2016

39.1213

#### Explanation:

$3 \ln x - 7 = 4$
$3 \ln x = 11$
$\ln x = \frac{11}{3}$
Or
${\log}_{e} x = \frac{11}{3}$
Remember ${2}^{3} = 8$ is the same fact as${\log}_{2} 8 = 3$
So
${e}^{\frac{11}{3}} = x$
X=39.1213 to 4dp