What is log_{2}(4/(sqrt(x+4))) ?

The solution to log_{2}(4/(sqrt(x+4))) is 2-log_{2}(sqrt(x+4))

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simplify log_{2}(4/(sqrt(x+4)))

simplify

lo g_{2} (\frac{4}{x + 4})

2 - lo g_{2} (x + 4)

Solution steps

lo g_{2} (\frac{4}{x + 4})

Apply log rule:

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

lo g_{2} (\frac{4}{x + 4}) = lo g_{2} (4) - lo g_{2} (x + 4)

= lo g_{2} (4) - lo g_{2} (x + 4)

lo g_{2} (4) = 2

= 2 - lo g_{2} (x + 4)

6 (lo g_{8} (5) + lo g_{8} (m))

3 lo g_{10} (m) + \frac{2}{3} lo g_{10} (n)

lo g_{8} (9 x)

What is log_{2}(4/(sqrt(x+4))) ?
The solution to log_{2}(4/(sqrt(x+4))) is 2-log_{2}(sqrt(x+4))