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Popular >

expand ln(17x^{-3}y)

Solution

expand

ln (17 x^{- 3} y)

Solution

ln (17) - 3 ln (x) + ln (y)

Solution steps

ln (17 x^{- 3} y)

Apply log rule:

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

ln (17 x^{- 3} y) = ln (17) + ln (x^{- 3}) + ln (y)

= ln (17) + ln (x^{- 3}) + ln (y)

Apply log rule:

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

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

= ln (17) - 3 ln (x) + ln (y)

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Frequently Asked Questions (FAQ)

What is expand ln(17x^{-3}y) ?
The solution to expand ln(17x^{-3}y) is ln(17)-3ln(x)+ln(y)