What is log_{10}((11x^3)/4) ?

The solution to log_{10}((11x^3)/4) is log_{10}(11)+3log_{10}(x)-2log_{10}(2)

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simplify log_{10}((11x^3)/4)

simplify

lo g_{10} (\frac{11 x ^{3}}{4})

lo g_{10} (11) + 3 lo g_{10} (x) - 2 lo g_{10} (2)

Solution steps

lo g_{10} (\frac{11 x ^{3}}{4})

Apply log rule:

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

lo g_{10} (\frac{11 x ^{3}}{4}) = lo g_{10} (11 x^{3}) - lo g_{10} (4)

= lo g_{10} (11 x^{3}) - lo g_{10} (4)

lo g_{10} (11 x^{3}) = lo g_{10} (11) + 3 lo g_{10} (x)

lo g_{10} (4) = 2 lo g_{10} (2)

= lo g_{10} (11) + 3 lo g_{10} (x) - 2 lo g_{10} (2)

ln (sin (θ)) - ln (\frac{sin ( θ )}{6})

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

\frac{1}{3} lo g_{10} (x) + 2 lo g_{10} (y)

lo g_{6} (5 z)

lo g_{6} (5 x)

What is log_{10}((11x^3)/4) ?
The solution to log_{10}((11x^3)/4) is log_{10}(11)+3log_{10}(x)-2log_{10}(2)