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Popular >

simplify e^{-log_{e}(x)}

Solution

simplify

e^{- l o g_{e} (x)}

Solution

\frac{1}{x}

Solution steps

e^{- l o g_{e} (x)}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{l o g_{e} (x)}}

e^{l o g_{e} (x)} = x

= \frac{1}{x}

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Frequently Asked Questions (FAQ)

What is e^{-log_{e}(x)} ?
The solution to e^{-log_{e}(x)} is 1/x