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Popular >

expand e^{2(ln(x)-x)}

Solution

expand

e^{2 (l n (x) - x)}

Solution

e^{- 2 x} x^{2}

Solution steps

e^{2 (l n (x) - x)}

Expand

2 (ln (x) - x) : 2 ln (x) - 2 x

= e^{2 l n (x) - 2 x}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= e^{2 l n (x)} e^{- 2 x}

Simplify

e^{2 l n (x)} : x^{2}

= x^{2} e^{- 2 x}

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Frequently Asked Questions (FAQ)

What is expand e^{2(ln(x)-x)} ?
The solution to expand e^{2(ln(x)-x)} is e^{-2x}x^2