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Popular >

simplify ln(Ae^{-B/(RT)})

Solution

simplify

ln (A e^{- \frac{B}{RT}})

Solution

ln (A) - \frac{B}{RT}

Solution steps

ln (A e^{- \frac{B}{RT}})

Apply log rule:

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

ln (A e^{- \frac{B}{RT}}) = ln (A) + ln (e^{- \frac{B}{RT}})

= ln (A) + ln (e^{- \frac{B}{RT}})

Apply log rule:

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

ln (e^{- \frac{B}{RT}}) = - \frac{B}{RT} ln (e)

= ln (A) - \frac{B}{RT} ln (e)

\frac{B}{RT} ln (e) = \frac{B}{RT}

= ln (A) - \frac{B}{RT}

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Frequently Asked Questions (FAQ)

What is ln(Ae^{-B/(RT)}) ?
The solution to ln(Ae^{-B/(RT)}) is ln(A)-B/(RT)