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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|)