What is log_{10}((100x^2)/(27)) ?

The solution to log_{10}((100x^2)/(27)) is 2+2log_{10}(x)-3log_{10}(3)

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simplify log_{10}((100x^2)/(27))

simplify

lo g_{10} (\frac{100 x ^{2}}{27})

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

Solution steps

lo g_{10} (\frac{100 x ^{2}}{27})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{100 x ^{2}}{27}) = lo g_{10} (100 x^{2}) - lo g_{10} (27)

= lo g_{10} (100 x^{2}) - lo g_{10} (27)

lo g_{10} (100 x^{2}) = 2 + 2 lo g_{10} (x)

lo g_{10} (27) = 3 lo g_{10} (3)

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

lo g_{10} (\frac{z}{3} (t - 2))

lo g_{10} (\frac{z ^{5}}{x ^{3} y})

lo g_{10} (\frac{y ^{7}}{x z ^{3}})

lo g_{10} (x (x^{2} + 9)^{- \frac{1}{2}})

lo g_{10} (10 y)

What is log_{10}((100x^2)/(27)) ?
The solution to log_{10}((100x^2)/(27)) is 2+2log_{10}(x)-3log_{10}(3)