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Popular >

simplify ln(5*e^{-q/(rt)})

Solution

simplify

ln (5 \cdot e^{- \frac{q}{r t}})

Solution

ln (5) - \frac{q}{r t}

Solution steps

ln (5 e^{- \frac{q}{r t}})

Apply log rule:

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

ln (5 e^{- \frac{q}{r t}}) = ln (5) + ln (e^{- \frac{q}{r t}})

= ln (5) + ln (e^{- \frac{q}{r t}})

Apply log rule:

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

ln (e^{- \frac{q}{r t}}) = - \frac{q}{r t} ln (e)

= ln (5) - \frac{q}{r t} ln (e)

\frac{q}{r t} ln (e) = \frac{q}{r t}

= ln (5) - \frac{q}{r t}

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Frequently Asked Questions (FAQ)

What is ln(5*e^{-q/(rt)}) ?
The solution to ln(5*e^{-q/(rt)}) is ln(5)-q/(rt)