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Popular >

simplify e^{-ln(x-1)}

Solution

simplify

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

Solution

\frac{1}{x - 1}

Solution steps

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

Apply exponent rule:

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

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

e^{l n (x - 1)} = x - 1

= \frac{1}{x - 1}

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Frequently Asked Questions (FAQ)

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