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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

- ln (\frac{e ^{2} - 1}{2 e ^{2}})

lo g_{2} (A) + lo g_{2} (B)

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

ln (2) + ln (x) - ln (x - 1)

lo g_{2} (\frac{2 x + 3}{8})

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