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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

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

lo g_{11} (11 x)

lo g_{7} (\frac{3 x}{2})

\frac{5}{2} ln (\frac{15}{2})

4 lo g_{10} (3) - 4 lo g_{10} (8)

ln (\frac{10}{3})

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