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Popular >

simplify ln(3e^{-y^2})

Solution

simplify

ln (3 e^{- y^{2}})

Solution

ln (3) - y^{2}

Solution steps

ln (3 e^{- y^{2}})

Apply log rule:

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

ln (3 e^{- y^{2}}) = ln (3) + ln (e^{- y^{2}})

= ln (3) + ln (e^{- y^{2}})

Apply log rule:

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

ln (e^{- y^{2}}) = - y^{2} ln (e)

= ln (3) - y^{2} ln (e)

y^{2} ln (e) = y^{2}

= ln (3) - y^{2}

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Frequently Asked Questions (FAQ)

What is ln(3e^{-y^2}) ?
The solution to ln(3e^{-y^2}) is ln(3)-y^2