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Popular >

simplify e^{-4ln|x-2|}

Solution

simplify

e^{- 4 l n ∣ x - 2 ∣}

Solution

\frac{1}{( x - 2 ) ^{4}}

Solution steps

e^{- 4 l n ∣ x - 2 ∣}

Apply exponent rule:

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

= \frac{1}{e ^{4 l n ∣ x - 2 ∣}}

e^{4 l n ∣ x - 2 ∣} = (x - 2)^{4}

= \frac{1}{( x - 2 ) ^{4}}

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Frequently Asked Questions (FAQ)

What is e^{-4ln|x-2|} ?
The solution to e^{-4ln|x-2|} is 1/((x-2)^4)