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Popular >

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

Solution

simplify

ln (x (1 - e^{- 1}))

Solution

ln (x) + ln (1 - \frac{1}{e})

Solution steps

ln (x (1 - e^{- 1}))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (x (1 - e^{- 1})) = ln (x) + ln (1 - e^{- 1})

= ln (x) + ln (- e^{- 1} + 1)

Apply exponent rule:

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

= ln (x) + ln (- \frac{1}{e} + 1)

Popular Examples

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Frequently Asked Questions (FAQ)

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