What is log_{10}((2x^3+4)/(5x^3-x)) ?

The solution to log_{10}((2x^3+4)/(5x^3-x)) is log_{10}(2x^3+4)-log_{10}(5x^3-x)

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simplify log_{10}((2x^3+4)/(5x^3-x))

simplify

lo g_{10} (\frac{2 x ^{3} + 4}{5 x ^{3} - x})

lo g_{10} (2 x^{3} + 4) - lo g_{10} (5 x^{3} - x)

Solution steps

lo g_{10} (\frac{2 x ^{3} + 4}{5 x ^{3} - x})

Apply log rule:

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

lo g_{10} (\frac{2 x ^{3} + 4}{5 x ^{3} - x}) = lo g_{10} (2 x^{3} + 4) - lo g_{10} (5 x^{3} - x)

= lo g_{10} (2 x^{3} + 4) - lo g_{10} (5 x^{3} - x)

33.33 (1) ln (\frac{1100}{1400}) - 0.287 ln (\frac{5}{20})

ln (7) + 2 ln (5)

lo g_{7} (2 x) + lo g_{7} (2) + 5

lo g_{5} (6) + lo g_{5} (x)

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

What is log_{10}((2x^3+4)/(5x^3-x)) ?
The solution to log_{10}((2x^3+4)/(5x^3-x)) is log_{10}(2x^3+4)-log_{10}(5x^3-x)