What is log_{2}((sqrt(a^2-9))/5) ?

The solution to log_{2}((sqrt(a^2-9))/5) is log_{2}(sqrt(a^2-9))-log_{2}(5)

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simplify log_{2}((sqrt(a^2-9))/5)

simplify

lo g_{2} (\frac{a ^{2} - 9}{5})

lo g_{2} (a^{2} - 9) - lo g_{2} (5)

Solution steps

lo g_{2} (\frac{a ^{2} - 9}{5})

Apply log rule:

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

lo g_{2} (\frac{a ^{2} - 9}{5}) = lo g_{2} (a^{2} - 9) - lo g_{2} (5)

= lo g_{2} (a^{2} - 9) - lo g_{2} (5)

lo g_{10} (\frac{x}{1000})

7 lo g_{10} (c) + lo g_{10} (q)

ln (\frac{6}{e ^{5}})

10 lo g_{10} (\frac{i}{1 0 ^{- 12}})

ln (\frac{e ^{3}}{10})

What is log_{2}((sqrt(a^2-9))/5) ?
The solution to log_{2}((sqrt(a^2-9))/5) is log_{2}(sqrt(a^2-9))-log_{2}(5)