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Popular >

simplify ln(le^{-lx})

Solution

simplify

ln (l e^{- l x})

Solution

ln (l) - l x

Solution steps

ln (l e^{- l x})

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (l) - l x ln (e)

l x ln (e) = l x

= ln (l) - l x

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Frequently Asked Questions (FAQ)

What is ln(le^{-lx}) ?
The solution to ln(le^{-lx}) is ln(l)-lx