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Popular >

simplify e^{-2log_{e}(x)}

Solution

simplify

e^{- 2 l o g_{e} (x)}

Solution

\frac{1}{x ^{2}}

Solution steps

e^{- 2 l o g_{e} (x)}

Apply exponent rule:

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

= \frac{1}{e ^{2 l o g_{e} (x)}}

e^{2 l o g_{e} (x)} = x^{2}

= \frac{1}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is e^{-2log_{e}(x)} ?
The solution to e^{-2log_{e}(x)} is 1/(x^2)