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Popular >

simplify log_{10}(xy^8)

Solution

simplify

lo g_{10} (x y^{8})

Solution

lo g_{10} (x) + 8 lo g_{10} (y)

Solution steps

lo g_{10} (x y^{8})

Apply log rule:

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

lo g_{10} (x y^{8}) = lo g_{10} (x) + lo g_{10} (y^{8})

= lo g_{10} (x) + lo g_{10} (y^{8})

Simplify

lo g_{10} (y^{8}) : 8 lo g_{10} (y)

= lo g_{10} (x) + 8 lo g_{10} (y)

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Frequently Asked Questions (FAQ)

What is log_{10}(xy^8) ?
The solution to log_{10}(xy^8) is log_{10}(x)+8log_{10}(y)