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

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

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

simplify

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

lo g_{2} (y) - 3

Solution steps

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

Apply log rule:

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

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

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

lo g_{2} (8) = 3

= lo g_{2} (y) - 3

ln (\frac{3 x ^{2}}{( x + 1 ) ^{10}})

lo g_{10} (a^{5} b^{4})

lo g_{10} (\frac{( x ^{2} y )}{( w ^{5} z )})

lo g_{b} (\frac{x}{( yz ) ^{2}})

- lo g_{10} (3 \cdot 1 0^{- 5})

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