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Popular >

simplify ln(ge^{-gx})

Solution

simplify

ln (g e^{- gx})

Solution

ln (g) - gx

Solution steps

ln (g e^{- gx})

Apply log rule:

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

ln (g e^{- gx}) = ln (g) + ln (e^{- gx})

= ln (g) + ln (e^{- gx})

Apply log rule:

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

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

= ln (g) - gx ln (e)

gx ln (e) = gx

= ln (g) - gx

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Frequently Asked Questions (FAQ)

What is ln(ge^{-gx}) ?
The solution to ln(ge^{-gx}) is ln(g)-gx