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Popular >

expand e^{2(3ln(x)-x)}

Solution

expand

e^{2 (3 l n (x) - x)}

Solution

e^{- 2 x} x^{6}

Solution steps

e^{2 (3 l n (x) - x)}

Expand

2 (3 ln (x) - x) : 6 ln (x) - 2 x

= e^{6 l n (x) - 2 x}

Apply exponent rule:

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

= e^{6 l n (x)} e^{- 2 x}

Simplify

e^{6 l n (x)} : x^{6}

= x^{6} e^{- 2 x}

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Frequently Asked Questions (FAQ)

What is expand e^{2(3ln(x)-x)} ?
The solution to expand e^{2(3ln(x)-x)} is e^{-2x}x^6