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Popular >

expand ln((xy)^3)

Solution

expand

ln ((x y)^{3})

Solution

3 ln (x) + 3 ln (y)

Solution steps

ln ((x y)^{3})

Apply log rule:

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

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

= 3 ln (x y)

Apply log rule:

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

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

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

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join ln(2)*1/2 join

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Frequently Asked Questions (FAQ)

What is expand ln((xy)^3) ?
The solution to expand ln((xy)^3) is 3ln(x)+3ln(y)