How to solve the logarithmic equation $\ln(x + 4) = 6$?

Question

I would like to learn the steps for solving this math problem. One of my classmates gave me this problem, and I need help solving it.

$\ln(x+4)=6$

To eliminate a natural log you raise e that power. So $\ln x = y \implies e^{\ln x} = e^y \implies x = e^y$. This is how you always solve them. So this is $x+4 = e^6$ which is easy to solve. — fleablood, Apr 12 '16 at 23:52

score 3 · Answer 1 · answered Apr 12 '16 at 23:42

3

$\ln(x+4)=6\Leftrightarrow x+4=e^{6}\Leftrightarrow x=e^{6}-4.$

answered Apr 12 '16 at 23:42

Rafael

1 Answers1