What is log_{10}(x^2y^2) ?

The solution to log_{10}(x^2y^2) is 2log_{10}(x)+2log_{10}(y)

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simplify log_{10}(x^2y^2)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

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

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

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

lo g_{b} (\frac{x y ^{4}}{z ^{4}})

3 lo g_{7} (2) + 2 lo g_{7} (3)

lo g_{8} (x - 6) + lo g_{8} (x + 6)

lo g_{10} (\frac{9 x}{y})

ln (9 + s^{2}) - ln (25 + s^{2})

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