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Popular >

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

Solution

simplify

ln (- 1 e^{- x})

Solution

- x

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= ln (1) - x ln (e)

ln (1) = 0

x ln (e) = x

= 0 - x

0 - x = - x

= - x

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Frequently Asked Questions (FAQ)

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