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Popular >

expand ln(2x^{-2}y)

Solution

expand

ln (2 x^{- 2} y)

Solution

ln (2) - 2 ln (x) + ln (y)

Solution steps

ln (2 x^{- 2} y)

Apply log rule:

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

ln (2 x^{- 2} y) = ln (2) + ln (x^{- 2}) + ln (y)

= ln (2) + ln (x^{- 2}) + ln (y)

Apply log rule:

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

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

= ln (2) - 2 ln (x) + ln (y)

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Frequently Asked Questions (FAQ)

What is expand ln(2x^{-2}y) ?
The solution to expand ln(2x^{-2}y) is ln(2)-2ln(x)+ln(y)