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Popular >

simplify ln(ce^{-c})

Solution

simplify

ln (c e^{- c})

Solution

ln (c) - c

Solution steps

ln (c e^{- c})

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (c) - c ln (e)

c ln (e) = c

= ln (c) - c

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Frequently Asked Questions (FAQ)

What is ln(ce^{-c}) ?
The solution to ln(ce^{-c}) is ln(c)-c