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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply:

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

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

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Frequently Asked Questions (FAQ)

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