What is log_{2}((sqrt(a^2-9))/8) ?

The solution to log_{2}((sqrt(a^2-9))/8) is log_{2}(sqrt(a^2-9))-3

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simplify log_{2}((sqrt(a^2-9))/8)

simplify

lo g_{2} (\frac{a ^{2} - 9}{8})

lo g_{2} (a^{2} - 9) - 3

Solution steps

lo g_{2} (\frac{a ^{2} - 9}{8})

Apply log rule:

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

lo g_{2} (\frac{a ^{2} - 9}{8}) = lo g_{2} (a^{2} - 9) - lo g_{2} (8)

= lo g_{2} (a^{2} - 9) - lo g_{2} (8)

lo g_{2} (8) = 3

= lo g_{2} (a^{2} - 9) - 3

- lo g_{10} (6.5 \cdot 1 0^{- 3})

ln (\frac{9}{7 x ^{7} y})

ln (\frac{8}{2})

lo g_{10} (\frac{x y}{z})

lo g_{a} (m) - lo g_{a} (n) - lo g_{a} (t)

What is log_{2}((sqrt(a^2-9))/8) ?
The solution to log_{2}((sqrt(a^2-9))/8) is log_{2}(sqrt(a^2-9))-3