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Popular >

simplify e^{-1ln(x)}

Solution

simplify

e^{- 1 l n (x)}

Solution

\frac{1}{x}

Solution steps

e^{- 1 \cdot l n (x)}

Apply exponent rule:

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

= \frac{1}{e ^{1 \cdot l n (x)}}

Multiply:

1 \cdot ln (x) = ln (x)

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

e^{l n (x)} = x

= \frac{1}{x}

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Frequently Asked Questions (FAQ)

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