What is log_{2}((sqrt(x))/8) ?

The solution to log_{2}((sqrt(x))/8) is log_{2}(sqrt(x))-3

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simplify log_{2}((sqrt(x))/8)

simplify

lo g_{2} (\frac{x}{8})

lo g_{2} (x) - 3

Solution steps

lo g_{2} (\frac{x}{8})

Apply log rule:

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

lo g_{2} (\frac{x}{8}) = lo g_{2} (x) - lo g_{2} (8)

= lo g_{2} (x) - lo g_{2} (8)

lo g_{2} (8) = 3

= lo g_{2} (x) - 3

lo g_{2} (2 x)

lo g_{10} (\frac{y}{100000})

3 lo g_{b} (x) + lo g_{b} (2 x + 1)

4 lo g_{3} (2 x - 1) - \frac{1}{2} lo g_{3} ((x + 1)^{2})

lo g_{10} (\frac{x ^{3}}{y ^{2}})

What is log_{2}((sqrt(x))/8) ?
The solution to log_{2}((sqrt(x))/8) is log_{2}(sqrt(x))-3