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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{b} (y) = lo g_{b} (y^{2})

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

Apply log rule:

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

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

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

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