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simplify log_{b}(x^2y^3)

Solution

simplify

lo g_{b} (x^{2} y^{3})

Solution

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

Solution steps

lo g_{b} (x^{2} y^{3})

Apply log rule:

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

lo g_{b} (x^{2} y^{3}) = lo g_{b} (x^{2}) + lo g_{b} (y^{3})

= lo g_{b} (x^{2}) + lo g_{b} (y^{3})

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

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

= 2 lo g_{b} (x) + 3 lo g_{b} (y)

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Frequently Asked Questions (FAQ)

What is log_{b}(x^2y^3) ?
The solution to log_{b}(x^2y^3) is 2log_{b}(x)+3log_{b}(y)