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Popular >

expand ln((xy)^4)

Solution

expand

ln ((x y)^{4})

Solution

4 ln (x) + 4 ln (y)

Solution steps

ln ((x y)^{4})

Apply log rule:

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

ln ((x y)^{4}) = 4 ln (x y)

= 4 ln (x y)

Apply log rule:

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

4 ln (x y) = 4 ln (x) + 4 ln (y)

= 4 ln (x) + 4 ln (y)

Popular Examples

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lo g_{10} (\frac{y}{z ^{4}})

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lo g_{c} (c^{2}) - 2 lo g_{c} (c^{3})

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Frequently Asked Questions (FAQ)

What is expand ln((xy)^4) ?
The solution to expand ln((xy)^4) is 4ln(x)+4ln(y)