How do you solve ln3x=5?

Oct 12, 2016

$x = {e}^{5} / 3 = 49.471$

Explanation:

In $\ln 3 x = 5$, $\ln$ refers to Napier logarithm i.e. to base $e$

Hence, using definition of logarithm we have

$3 x = {e}^{5}$

or $x = {e}^{5} / 3 = \frac{148.413}{3} = 49.471$