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Popular >

simplify ln(ve^{-t/(rc)})

Solution

simplify

ln (v e^{- \frac{t}{rc}})

Solution

ln (v) - \frac{t}{rc}

Solution steps

ln (v e^{- \frac{t}{rc}})

Apply log rule:

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

ln (v e^{- \frac{t}{rc}}) = ln (v) + ln (e^{- \frac{t}{rc}})

= ln (v) + ln (e^{- \frac{t}{rc}})

Apply log rule:

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

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

= ln (v) - \frac{t}{rc} ln (e)

\frac{t}{rc} ln (e) = \frac{t}{rc}

= ln (v) - \frac{t}{rc}

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Frequently Asked Questions (FAQ)

What is ln(ve^{-t/(rc)}) ?
The solution to ln(ve^{-t/(rc)}) is ln(v)-t/(rc)