What is xe^{-x}*e^{-x}ln(x) ?

The solution to xe^{-x}*e^{-x}ln(x) is e^{-2x}xln(x)

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simplify xe^{-x}*e^{-x}ln(x)

simplify

x e^{- x} \cdot e^{- x} ln (x)

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

Solution steps

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

Apply exponent rule:

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

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

= x e^{- x - x} ln (x)

Add similar elements:

- x - x = - 2 x

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

e^{- \frac{1500}{1200}}

\frac{e ^{- 3 t}}{e ^{- 3 t}}

(a^{2} b^{2}) (ab - a^{2} b)

250000 e^{- 0.026 (18)}

(7 a^{3} b^{4}) (10 a^{3} b)

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