What is log_{2}(4/(sqrt(x+7))) ?

The solution to log_{2}(4/(sqrt(x+7))) is 2-log_{2}(sqrt(x+7))

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simplify log_{2}(4/(sqrt(x+7)))

simplify

lo g_{2} (\frac{4}{x + 7})

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

Solution steps

lo g_{2} (\frac{4}{x + 7})

Apply log rule:

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

lo g_{2} (\frac{4}{x + 7}) = lo g_{2} (4) - lo g_{2} (x + 7)

= lo g_{2} (4) - lo g_{2} (x + 7)

lo g_{2} (4) = 2

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

\frac{1}{lo g _{2} ( 10 ) - lo g _{2} ( 9 )}

lo g_{10} (5 x + 1) - lo g_{10} (x)

lo g_{8} (\frac{f}{64})

2 ln (x) + ln (y)

lo g_{b} (\frac{m}{n})

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