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

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

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

simplify

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

lo g_{2} (c) - 3

Solution steps

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

Apply log rule:

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

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

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

lo g_{2} (8) = 3

= lo g_{2} (c) - 3

lo g_{\frac{3}{2}} (9) + lo g_{\frac{3}{2}} (3) - lo g_{\frac{3}{2}} (8)

ln (\frac{e ^{2}}{13})

ln (a) + ln (b) - ln (c)

lo g_{4} (x y^{5} z^{4})

lo g_{10} (\frac{a ^{2} b}{c})

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