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Popular >

expand log_{4}(x^2y)

Solution

expand

lo g_{4} (x^{2} y)

Solution

2 lo g_{4} (x) + lo g_{4} (y)

Solution steps

lo g_{4} (x^{2} y)

Apply log rule:

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

lo g_{4} (x^{2} y) = lo g_{4} (x^{2}) + lo g_{4} (y)

= lo g_{4} (x^{2}) + lo g_{4} (y)

Apply log rule:

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

lo g_{4} (x^{2}) = 2 lo g_{4} (x)

= 2 lo g_{4} (x) + lo g_{4} (y)

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Frequently Asked Questions (FAQ)

What is expand log_{4}(x^2y) ?
The solution to expand log_{4}(x^2y) is 2log_{4}(x)+log_{4}(y)