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Popular >

simplify ln(xe^{-y})

Solution

simplify

ln (x e^{- y})

Solution

ln (x) - y

Solution steps

ln (x e^{- y})

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (x) - y ln (e)

y ln (e) = y

= ln (x) - y

Popular Examples

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ln (\frac{20}{x})

Frequently Asked Questions (FAQ)

What is ln(xe^{-y}) ?
The solution to ln(xe^{-y}) is ln(x)-y