What is log_{2}((sqrt(a^2-4))/7) ?

The solution to log_{2}((sqrt(a^2-4))/7) is log_{2}(sqrt(a^2-4))-log_{2}(7)

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simplify log_{2}((sqrt(a^2-4))/7)

simplify

lo g_{2} (\frac{a ^{2} - 4}{7})

lo g_{2} (a^{2} - 4) - lo g_{2} (7)

Solution steps

lo g_{2} (\frac{a ^{2} - 4}{7})

Apply log rule:

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

lo g_{2} (\frac{a ^{2} - 4}{7}) = lo g_{2} (a^{2} - 4) - lo g_{2} (7)

= lo g_{2} (a^{2} - 4) - lo g_{2} (7)

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

ln (\frac{1}{10000})

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

\frac{1}{2} (lo g_{3} (a) + lo g_{3} (b))

lo g_{5} (\frac{5 a}{b c})

What is log_{2}((sqrt(a^2-4))/7) ?
The solution to log_{2}((sqrt(a^2-4))/7) is log_{2}(sqrt(a^2-4))-log_{2}(7)