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Popular >

simplify ln(be^{-cx})

Solution

simplify

ln (b \cdot e^{- c \cdot x})

Solution

ln (b) - c x

Solution steps

ln (b e^{- c x})

Apply log rule:

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

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

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

Apply log rule:

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

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

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

c x ln (e) = c x

= ln (b) - c x

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Frequently Asked Questions (FAQ)

What is ln(b*e^{-c*x}) ?
The solution to ln(b*e^{-c*x}) is ln(b)-cx