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Popular >

simplify log_{b}(x^6y)

Solution

simplify

lo g_{b} (x^{6} y)

Solution

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

Solution steps

lo g_{b} (x^{6} y)

Apply log rule:

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

lo g_{b} (x^{6} y) = lo g_{b} (x^{6}) + lo g_{b} (y)

= lo g_{b} (x^{6}) + lo g_{b} (y)

Simplify

lo g_{b} (x^{6}) : 6 lo g_{b} (x)

= 6 lo g_{b} (x) + lo g_{b} (y)

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Frequently Asked Questions (FAQ)

What is log_{b}(x^6y) ?
The solution to log_{b}(x^6y) is 6log_{b}(x)+log_{b}(y)