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Popular >

simplify ln(Ae^{-t})

Solution

simplify

ln (A e^{- t})

Solution

ln (A) - t

Solution steps

ln (A e^{- t})

Apply log rule:

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

ln (A e^{- t}) = ln (A) + ln (e^{- t})

= ln (A) + ln (e^{- t})

Apply log rule:

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

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

= ln (A) - t ln (e)

t ln (e) = t

= ln (A) - t

Popular Examples

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Frequently Asked Questions (FAQ)

What is ln(Ae^{-t}) ?
The solution to ln(Ae^{-t}) is ln(A)-t