What is e^{-1/2 ln(x^2+2x-1)} ?

The solution to e^{-1/2 ln(x^2+2x-1)} is 1/(sqrt(x^2+2x-1))

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simplify e^{-1/2 ln(x^2+2x-1)}

simplify

e^{- \frac{1}{2} l n (x^{2} + 2 x - 1)}

\frac{1}{x ^{2} + 2 x - 1}

Solution steps

e^{- \frac{1}{2} l n (x^{2} + 2 x - 1)}

Apply exponent rule:

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

= \frac{1}{e ^{\frac{1}{2} l n (x^{2} + 2 x - 1)}}

e^{\frac{1}{2} l n (x^{2} + 2 x - 1)} = x^{2} + 2 x - 1

= \frac{1}{x ^{2} + 2 x - 1}

x (x - 1)

7.2 \cdot 1 0^{- 5}

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

(1 - x)^{- \frac{1}{5}}

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