What is expand log_{2}(9/(sqrt(x+7))) ?

The solution to expand log_{2}(9/(sqrt(x+7))) is 2log_{2}(3)-log_{2}(sqrt(x+7))

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expand log_{2}(9/(sqrt(x+7)))

expand

lo g_{2} (\frac{9}{x + 7})

2 lo g_{2} (3) - lo g_{2} (x + 7)

Solution steps

lo g_{2} (\frac{9}{x + 7})

Apply log rule:

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

lo g_{2} (\frac{9}{x + 7}) = lo g_{2} (9) - lo g_{2} (x + 7)

= lo g_{2} (9) - lo g_{2} (x + 7)

lo g_{2} (9) = 2 lo g_{2} (3)

= 2 lo g_{2} (3) - lo g_{2} (x + 7)

ln (\frac{x ^{8} cos ^{4} ( x )}{x - 4})

- a (ln ∣ a - l ∣ - ln ∣ a ∣) - l

\frac{1}{2} ln (\frac{386000}{530000})

ln (\frac{50000}{20000})

e^{x - 2 y} - ln (2 x^{2} y)

What is expand log_{2}(9/(sqrt(x+7))) ?
The solution to expand log_{2}(9/(sqrt(x+7))) is 2log_{2}(3)-log_{2}(sqrt(x+7))