Solving this exponential equation

[Emethyst]

Homework Statement

Solve the equation e^x+10e^-x=7

Homework Equations

Logarithm rules and the natural logarithm

The Attempt at a Solution

Not really a calculus question but one I'm lost on nevertheless. I don't know how to go about solving this question at all. My first attempt was to factor out the e^x, but this got me nowhere. I know that this question has two answers (ln2 and ln5), but I cannot seem to figure out how to solve for these answers. Any help would be greatly appreciated, thanks in advance.

 

[Mark44]

Multiply both sides by e^x, which will give you an equation that is quadratic in form.