What is log_{2}((sqrt(y))/4) ?

The solution to log_{2}((sqrt(y))/4) is log_{2}(sqrt(y))-2

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simplify log_{2}((sqrt(y))/4)

simplify

lo g_{2} (\frac{y}{4})

lo g_{2} (y) - 2

Solution steps

lo g_{2} (\frac{y}{4})

Apply log rule:

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

lo g_{2} (\frac{y}{4}) = lo g_{2} (y) - lo g_{2} (4)

= lo g_{2} (y) - lo g_{2} (4)

lo g_{2} (4) = 2

= lo g_{2} (y) - 2

lo g_{10} (\frac{11 c}{4})

lo g_{10} (x^{2} - 9) - lo g_{10} (x + 3)

lo g_{10} (x y^{5})

lo g_{10} (8) + lo g_{10} (4)

lo g_{4} (\frac{12}{x})

What is log_{2}((sqrt(y))/4) ?
The solution to log_{2}((sqrt(y))/4) is log_{2}(sqrt(y))-2