What is simplify-ln(5/(a^{-2)}) ?

The solution to simplify-ln(5/(a^{-2)}) is -(ln(5)--2ln(a))

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simplify-ln(5/(a^{-2)})

simplify

- ln (\frac{5}{a ^{- 2}})

- (ln (5) - - 2 ln (a))

Solution steps

- ln (\frac{5}{a ^{- 2}})

Apply log rule:

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

ln (\frac{5}{a ^{- 2}}) = ln (5) - ln (a^{- 2})

= - (ln (5) - ln (a^{- 2}))

Apply log rule:

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

ln (a^{- 2}) = - 2 ln (a)

= - (ln (5) - - 2 ln (a))

ln (2 m x^{m - 1})

ln (x + 1) 2 + ln (y + 1) 3

ln (- 999) \frac{1}{1000}

ln (p^{x} (1 - p)^{m})

\frac{1}{3} ln (\frac{26}{31})

What is simplify-ln(5/(a^{-2)}) ?
The solution to simplify-ln(5/(a^{-2)}) is -(ln(5)--2ln(a))