Solving this exponential equation

  • Thread starter Emethyst
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  • #1
Emethyst
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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.
 

Answers and Replies

  • #2
36,656
8,655
Multiply both sides by e^x, which will give you an equation that is quadratic in form.
 

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