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

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

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

expand

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

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)

3 (lo g_{6} (x) + 2 lo g_{6} (y) - 4 lo g_{6} (z))

lo g_{b} (\frac{2.079}{1.946})

ln (17 x) - ln (17)

3 lo g_{10} (2 x) + 2 lo g_{10} (x)

\frac{1}{2} ln (x) + 2 ln (y) - 3 ln (z)

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