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Popular >

simplify log_{10}(mn^2)

Solution

simplify

lo g_{10} (m n^{2})

Solution

lo g_{10} (m) + 2 lo g_{10} (n)

Solution steps

lo g_{10} (m n^{2})

Apply log rule:

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

lo g_{10} (m n^{2}) = lo g_{10} (m) + lo g_{10} (n^{2})

= lo g_{10} (m) + lo g_{10} (n^{2})

Simplify

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

= lo g_{10} (m) + 2 lo g_{10} (n)

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Frequently Asked Questions (FAQ)

What is log_{10}(mn^2) ?
The solution to log_{10}(mn^2) is log_{10}(m)+2log_{10}(n)