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Popular >

simplify log_{b}(y^6z)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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