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

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

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

expand

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

lo g_{2} (x) - 3

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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

3 lo g_{e} (x) - 4 lo g_{e} (y)

lo g_{2} (\frac{16}{y})

- \frac{18 ln ( 2 )}{3 ln ( 2 ) - ln ( 5 )}

ln (\frac{1 + i}{2})

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