# Math Help - log solution for variable x?

1. ## log solution for variable x?

if ln (5x+5) =2 then what would x = ?

2. ln(5x + 5) = 2

e^(ln(5x + 5)) = e^2

5x + 5 = e^2

x = (e^2 -5)/5

$\ln \left( {5x + 5} \right) = 2 \Leftrightarrow 5x + 5 = {e^2} \Leftrightarrow x = \frac{{{e^2}}}{5} - 1.$