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Popular >

simplify ln(ye^{-n})

Solution

simplify

ln (y e^{- n})

Solution

ln (y) - n

Solution steps

ln (y e^{- n})

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (y) - n ln (e)

n ln (e) = n

= ln (y) - n

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Frequently Asked Questions (FAQ)

What is ln(ye^{-n}) ?
The solution to ln(ye^{-n}) is ln(y)-n