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

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

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

expand

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

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)

2 lo g_{22} (15)

ln (8) - ln (7)

lo g_{10} (9 x)

ln (16) - ln (9)

lo g_{10} (\frac{8 x}{y})

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