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

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

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

simplify

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

lo g_{2} (x) - 2

Solution steps

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

Apply log rule:

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

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

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

lo g_{2} (4) = 2

= lo g_{2} (x) - 2

\frac{1}{3} lo g_{b} (x) + 4 lo g_{b} (y) - 5 lo g_{b} (x)

lo g_{3} (x) - lo g_{3} (x^{5})

lo g_{10} (\frac{x}{10000})

- \frac{1}{2} ln ∣ x + 1 ∣ + \frac{1}{2} ln ∣ x - 1 ∣ + C

lo g_{5} (\frac{125}{x - 1})

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