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Popular >

simplify ln(pe^{-cp})

Solution

simplify

ln (p e^{- c p})

Solution

ln (p) - p c

Solution steps

ln (p e^{- c p})

Apply log rule:

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

ln (p e^{- c p}) = ln (p) + ln (e^{- c p})

= ln (p) + ln (e^{- p c})

Apply log rule:

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

ln (e^{- c p}) = - c p ln (e)

= ln (p) - c p ln (e)

c p ln (e) = p c

= ln (p) - p c

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Frequently Asked Questions (FAQ)

What is ln(pe^{-cp}) ?
The solution to ln(pe^{-cp}) is ln(p)-pc