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Solve for x
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Solve for x (complex solution)
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e^{x}=13990
Swap sides so that all variable terms are on the left hand side.
\log(e^{x})=\log(13990)
Take the logarithm of both sides of the equation.
x\log(e)=\log(13990)
The logarithm of a number raised to a power is the power times the logarithm of the number.
x=\frac{\log(13990)}{\log(e)}
Divide both sides by \log(e).
x=\log_{e}\left(13990\right)
By the change-of-base formula \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).