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Popular >

simplify e^{-ln(x)}dx

Solution

simplify

e^{- l n (x)} d x

Solution

\frac{d x}{x}

Solution steps

e^{- l n (x)} d x

Apply exponent rule:

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

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

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

= \frac{1}{x} d x

Simplify

= \frac{d x}{x}

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Frequently Asked Questions (FAQ)

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