What is log_{10}((x-y)^2)-log_{10}(x-y) ?

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

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simplify log_{10}((x-y)^2)-log_{10}(x-y)

simplify

lo g_{10} ((x - y)^{2}) - lo g_{10} (x - y)

lo g_{10} (x - y)

Solution steps

lo g_{10} ((x - y)^{2}) - lo g_{10} (x - y)

Apply log rule:

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

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

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

Cancel the common factor:

x - y

= lo g_{10} (x - y)

ln (- 6 (\frac{e ^{1}}{3})^{\frac{1}{2}} \cdot 1)

- lo g_{10} (1.4 \cdot 1 0^{- 4})

lo g_{10} (\frac{x}{1 - x})

lo g_{10} (\frac{y}{z ^{6}})

2 lo g_{b} (x) + 6 lo g_{b} (z)

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