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Popular >

simplify e^{-ln|x^2-5|}

Solution

simplify

e^{- l n ∣ x^{2} - 5 ∣}

Solution

\frac{1}{∣ x ^{2} - 5 ∣}

Solution steps

e^{- l n ∣ x^{2} - 5 ∣}

Apply exponent rule:

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

= \frac{1}{e ^{l n ∣ x^{2} - 5 ∣}}

e^{l n ∣ x^{2} - 5 ∣} = x^{2} - 5

= \frac{1}{∣ x ^{2} - 5 ∣}

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Frequently Asked Questions (FAQ)

What is e^{-ln|x^2-5|} ?
The solution to e^{-ln|x^2-5|} is 1/(|x^2-5|)