What is 2log_{10}(8)+2log_{10}(x) ?

The solution to 2log_{10}(8)+2log_{10}(x) is log_{10}(64x^2)

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simplify 2log_{10}(8)+2log_{10}(x)

simplify

2 lo g_{10} (8) + 2 lo g_{10} (x)

lo g_{10} (64 x^{2})

Solution steps

2 lo g_{10} (8) + 2 lo g_{10} (x)

2 lo g_{10} (8) = lo g_{10} (8^{2})

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

= lo g_{10} (8^{2}) + lo g_{10} (x^{2})

Apply log rule:

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

lo g_{10} (8^{2}) + lo g_{10} (x^{2}) = lo g_{10} (8^{2} x^{2})

= lo g_{10} (8^{2} x^{2})

Simplify

8^{2} x^{2} : 64 x^{2}

= lo g_{10} (64 x^{2})

- (\frac{2}{8}) lo g_{2} (\frac{2}{8}) - (\frac{6}{8}) lo g_{2} (\frac{6}{8})

lo g_{2} (15) - lo g_{2} (3)

lo g_{10} (\frac{y ^{7}}{x})

lo g_{10} (\frac{x ^{3}}{z y ^{4}})

lo g_{10} (30) + lo g_{10} (\frac{1}{10})

What is 2log_{10}(8)+2log_{10}(x) ?
The solution to 2log_{10}(8)+2log_{10}(x) is log_{10}(64x^2)