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

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

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

simplify

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

lo g_{2} (z) - 3

Solution steps

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

Apply log rule:

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

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

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

lo g_{2} (8) = 3

= lo g_{2} (z) - 3

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

5 \cdot lo g_{8} (c^{3} d^{2}) + 3 \cdot lo g_{8} (c d^{7})

2 lo g_{4} (y) + 5 lo g_{4} (x) - \frac{1}{2} lo g_{4} (z)

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

ln (\frac{10}{9})

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