What is log_{10}((x^2)/3) ?

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

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simplify log_{10}((x^2)/3)

simplify

lo g_{10} (\frac{x ^{2}}{3})

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

Solution steps

lo g_{10} (\frac{x ^{2}}{3})

Apply log rule:

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

lo g_{10} (\frac{x ^{2}}{3}) = lo g_{10} (x^{2}) - lo g_{10} (3)

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

Simplify

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

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

\frac{1}{2} lo g_{b} (\frac{3 + 2 2}{3 - 2 2})

ln (\frac{x ^{5}}{x ( 1 + x ) ^{3}})

3 ln (3 x) - 3

lo g_{b} (x) + lo g_{b} (x + 5) - lo g_{b} (20)

- lo g_{10} (1.33 \cdot 1 0^{- 5})

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