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Popular >

simplify log_{b}(xy^3)

Solution

simplify

lo g_{b} (x y^{3})

Solution

lo g_{b} (x) + 3 lo g_{b} (y)

Solution steps

lo g_{b} (x y^{3})

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{b} (x y^{3}) = lo g_{b} (x) + lo g_{b} (y^{3})

= lo g_{b} (x) + lo g_{b} (y^{3})

Simplify

lo g_{b} (y^{3}) : 3 lo g_{b} (y)

= lo g_{b} (x) + 3 lo g_{b} (y)

Popular Examples

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Frequently Asked Questions (FAQ)

What is log_{b}(xy^3) ?
The solution to log_{b}(xy^3) is log_{b}(x)+3log_{b}(y)