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Popular >

simplify ln(ne^{-nx})

Solution

simplify

ln (n e^{- n x})

Solution

ln (n) - n x

Solution steps

ln (n e^{- n x})

Apply log rule:

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

ln (n e^{- n x}) = ln (n) + ln (e^{- n x})

= ln (n) + ln (e^{- n x})

Apply log rule:

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

ln (e^{- n x}) = - n x ln (e)

= ln (n) - n x ln (e)

n x ln (e) = n x

= ln (n) - n x

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Frequently Asked Questions (FAQ)

What is ln(ne^{-nx}) ?
The solution to ln(ne^{-nx}) is ln(n)-nx