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Popular >

simplify log_{10}(a^2b)

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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