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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{2} (2 x - 1) - 4 lo g_{4} (x^{2}) + 3 lo g_{2} (x)

lo g_{10} (\frac{5 y + 1}{y + 4})

ln (\frac{7}{5})

lo g_{10} (3) + lo g_{10} (7)

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