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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{10} (\frac{a}{b + c})

lo g_{4} ((2 w^{4})^{3})

ln (x) + ln (10)

ln (x) + ln (12)

lo g_{6} (6 x)

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