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Popular >

simplify e^{-s}*ln(1+1/s)

Solution

simplify

e^{- s} \cdot ln (1 + \frac{1}{s})

Solution

\frac{ln ( \frac{1}{s} + 1 )}{e ^{s}}

Solution steps

e^{- s} ln (1 + \frac{1}{s})

Apply exponent rule:

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

= \frac{1}{e ^{s}} ln (\frac{1}{s} + 1)

Multiply fractions:

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

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

Multiply:

1 \cdot ln (1 + \frac{1}{s}) = ln (1 + \frac{1}{s})

= \frac{ln ( 1 + \frac{1}{s} )}{e ^{s}}

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Frequently Asked Questions (FAQ)

What is e^{-s}*ln(1+1/s) ?
The solution to e^{-s}*ln(1+1/s) is (ln(1/s+1))/(e^s)