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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

e^{- x} ln (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}}

Popular Examples

simplify-(e^x)/(e^x)simplify

- \frac{e ^{x}}{e ^{x}}

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(x^{2} y^{2}) (x y^{2})

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1.02 \cdot 1 0^{- 2}

simplify (-1)e^{-1}simplify

(- 1) e^{- 1}

simplify e^{-5}*(5^7)/(7!)*0.1 simplify

e^{- 5} \cdot \frac{5 ^{7}}{7 !} \cdot 0.1

Frequently Asked Questions (FAQ)

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