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Popular >

simplify e^{-3ln(x-1)}

Solution

simplify

e^{- 3 l n (x - 1)}

Solution

\frac{1}{( x - 1 ) ^{3}}

Solution steps

e^{- 3 l n (x - 1)}

Apply exponent rule:

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

= \frac{1}{e ^{3 l n (x - 1)}}

e^{3 l n (x - 1)} = (x - 1)^{3}

= \frac{1}{( x - 1 ) ^{3}}

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Frequently Asked Questions (FAQ)

What is e^{-3ln(x-1)} ?
The solution to e^{-3ln(x-1)} is 1/((x-1)^3)