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Popular >

simplify log_{10}(ab^2)

Solution

simplify

lo g_{10} (a b^{2})

Solution

lo g_{10} (a) + 2 lo g_{10} (b)

Solution steps

lo g_{10} (a b^{2})

Apply log rule:

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

lo g_{10} (a b^{2}) = lo g_{10} (a) + lo g_{10} (b^{2})

= lo g_{10} (a) + lo g_{10} (b^{2})

Simplify

lo g_{10} (b^{2}) : 2 lo g_{10} (b)

= lo g_{10} (a) + 2 lo g_{10} (b)

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Frequently Asked Questions (FAQ)

What is log_{10}(ab^2) ?
The solution to log_{10}(ab^2) is log_{10}(a)+2log_{10}(b)