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Popular >

simplify log_{10}(9x^2)

Solution

simplify

lo g_{10} (9 x^{2})

Solution

2 lo g_{10} (3) + 2 lo g_{10} (x)

Solution steps

lo g_{10} (9 x^{2})

Apply log rule:

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

lo g_{10} (9 x^{2}) = lo g_{10} (9) + lo g_{10} (x^{2})

= lo g_{10} (9) + lo g_{10} (x^{2})

lo g_{10} (9) = 2 lo g_{10} (3)

lo g_{10} (x^{2}) = 2 lo g_{10} (x)

= 2 lo g_{10} (3) + 2 lo g_{10} (x)

Popular Examples

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Frequently Asked Questions (FAQ)

What is log_{10}(9x^2) ?
The solution to log_{10}(9x^2) is 2log_{10}(3)+2log_{10}(x)