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

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

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simplify log_{2}(x/(y^2))

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

lo g_{2} (y^{2}) : 2 lo g_{2} (y)

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

lo g_{4} (w) + 2 lo g_{4} (z)

lo g_{10} (8) - lo g_{10} (125)

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

lo g_{10} (\frac{mn}{p})

lo g_{10} (9 x^{5}) + 5 lo g_{10} (\frac{1}{x})

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