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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

ln (x) e^{- x}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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