# How do you solve ln (2x-5) = 3.78?

Jan 18, 2016

I found: $x = \frac{{e}^{3.78} + 5}{2} = 24.41$

#### Explanation:

I would use the definition of log to change it into an exponential as:
$2 x - 5 = {e}^{3.78}$
Rearranging:
$2 x = {e}^{3.78} + 5$
And:
$x = \frac{{e}^{3.78} + 5}{2} = 24.41$