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Popular >

simplify ln(a(x-3)^{-3})

Solution

simplify

ln (a (x - 3)^{- 3})

Solution

ln (a) - 3 ln (x - 3)

Solution steps

ln (a (x - 3)^{- 3})

Apply log rule:

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

ln (a (x - 3)^{- 3}) = ln (a) + ln ((x - 3)^{- 3})

= ln (a) + ln ((x - 3)^{- 3})

Apply log rule:

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

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

= ln (a) - 3 ln (x - 3)

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Frequently Asked Questions (FAQ)

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