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Popular >

expand log_{b}(x^4y)

Solution

expand

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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