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Popular >

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

Solution

simplify

\frac{1}{2} ln (x) e^{- x}

Solution

\frac{ln ( x )}{2 e ^{x}}

Solution steps

\frac{1}{2} ln (x) e^{- x}

Apply exponent rule:

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

= \frac{1}{2} \cdot \frac{1}{e ^{x}} ln (x)

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 1 \cdot ln ( x )}{2 e ^{x}}

Multiply:

1 \cdot 1 \cdot ln (x) = ln (x)

= \frac{ln ( x )}{2 e ^{x}}

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1140 \cdot (\frac{400}{418.8})^{- 1.6}

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12 e^{- 0.04 \cdot \frac{8}{12}}

Frequently Asked Questions (FAQ)

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