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Popular >

simplify ln(-4e^{-y})

Solution

simplify

ln (- 4 e^{- y})

Solution

2 ln (2) - y

Solution steps

ln (- 4 e^{- y})

Apply log rule:

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

ln (- 4 e^{- y}) = ln (4) + ln (e^{- y})

= ln (4) + ln (e^{- y})

Apply log rule:

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

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

= ln (4) - y ln (e)

y ln (e) = y

= ln (4) - y

ln (4) = 2 ln (2)

= 2 ln (2) - y

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Frequently Asked Questions (FAQ)

What is ln(-4e^{-y}) ?
The solution to ln(-4e^{-y}) is 2ln(2)-y