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Popular >

simplify ln(a/(b^{-3)})

Solution

simplify

ln (\frac{a}{b ^{- 3}})

Solution

ln (a) - - 3 ln (b)

Solution steps

ln (\frac{a}{b ^{- 3}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{a}{b ^{- 3}}) = ln (a) - ln (b^{- 3})

= ln (a) - ln (b^{- 3})

Apply log rule:

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

ln (b^{- 3}) = - 3 ln (b)

= ln (a) - - 3 ln (b)

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Frequently Asked Questions (FAQ)

What is ln(a/(b^{-3)}) ?
The solution to ln(a/(b^{-3)}) is ln(a)--3ln(b)