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Popular >

simplify ln(ae^x)+ln(be^{-x})

Solution

simplify

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

Solution

ln (ab)

Solution steps

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

Apply log rule:

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

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

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

Simplify

a e^{x} b e^{- x} : ab

= ln (ab)

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lo g_{5} (\frac{a ^{3}}{b ^{3}})

simplify 1/15*ln(2089174/684005)simplify

\frac{1}{15} \cdot ln (\frac{2089174}{684005})

Frequently Asked Questions (FAQ)

What is ln(ae^x)+ln(be^{-x}) ?
The solution to ln(ae^x)+ln(be^{-x}) is ln(ab)