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Popular >

simplify ln(7e^{-rt^2})

Solution

simplify

ln (7 e^{- r t^{2}})

Solution

ln (7) - r t^{2}

Solution steps

ln (7 e^{- r t^{2}})

Apply log rule:

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

ln (7 e^{- r t^{2}}) = ln (7) + ln (e^{- r t^{2}})

= ln (7) + ln (e^{- r t^{2}})

Apply log rule:

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

ln (e^{- r t^{2}}) = - r t^{2} ln (e)

= ln (7) - r t^{2} ln (e)

r t^{2} ln (e) = r t^{2}

= ln (7) - r t^{2}

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Frequently Asked Questions (FAQ)

What is ln(7e^{-rt^2}) ?
The solution to ln(7e^{-rt^2}) is ln(7)-rt^2