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Popular >

simplify ln(ae^{-a(x-b)})

Solution

simplify

ln (a e^{- a (x - b)})

Solution

ln (a) - a (x - b)

Solution steps

ln (a e^{- a (x - b)})

Apply log rule:

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

ln (a e^{- a (x - b)}) = ln (a) + ln (e^{- a (x - b)})

= ln (a) + ln (e^{- a (x - b)})

Apply log rule:

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

ln (e^{- a (x - b)}) = - a (x - b) ln (e)

= ln (a) - a (x - b) ln (e)

a (x - b) ln (e) = a (x - b)

= ln (a) - a (x - b)

Popular Examples

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Frequently Asked Questions (FAQ)

What is ln(ae^{-a(x-b)}) ?
The solution to ln(ae^{-a(x-b)}) is ln(a)-a(x-b)