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Popular >

simplify ln((-1)/(e^x))

Solution

simplify

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

Solution

ln (- 1) - x

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{- 1}{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)

x ln (e) = x

= ln (- 1) - x

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Frequently Asked Questions (FAQ)

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