What is factor log_{10}((3x^2-15x)/(x^2+4x)) ?

The solution to factor log_{10}((3x^2-15x)/(x^2+4x)) is log_{10}(3x^2-15x)-log_{10}(x^2+4x)

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factor log_{10}((3x^2-15x)/(x^2+4x))

factor

lo g_{10} (\frac{3 x ^{2} - 15 x}{x ^{2} + 4 x})

lo g_{10} (3 x^{2} - 15 x) - lo g_{10} (x^{2} + 4 x)

Solution steps

lo g_{10} (\frac{3 x ^{2} - 15 x}{x ^{2} + 4 x})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{3 x ^{2} - 15 x}{x ^{2} + 4 x}) = lo g_{10} (3 x^{2} - 15 x) - lo g_{10} (x^{2} + 4 x)

= lo g_{10} (3 x^{2} - 15 x) - lo g_{10} (x^{2} + 4 x)

ln (\frac{12 x ^{5}}{y})

50 \cdot ln (\frac{54.8}{29.5})

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

- lo g_{10} (2.8 \cdot 1 0^{- 9})

ln (\frac{K ^{\frac{3}{4}} L}{K + 1})

What is factor log_{10}((3x^2-15x)/(x^2+4x)) ?
The solution to factor log_{10}((3x^2-15x)/(x^2+4x)) is log_{10}(3x^2-15x)-log_{10}(x^2+4x)