What is log_{2}(4/(sqrt(x+3))) ?

The solution to log_{2}(4/(sqrt(x+3))) is 2-log_{2}(sqrt(x+3))

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simplify log_{2}(4/(sqrt(x+3)))

simplify

lo g_{2} (\frac{4}{x + 3})

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

Solution steps

lo g_{2} (\frac{4}{x + 3})

Apply log rule:

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

lo g_{2} (\frac{4}{x + 3}) = lo g_{2} (4) - lo g_{2} (x + 3)

= lo g_{2} (4) - lo g_{2} (x + 3)

lo g_{2} (4) = 2

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

lo g_{10} (\frac{x ^{2}}{y ^{5}})

(lo g_{c} (x) - lo g_{c} (y)) + 7 lo g_{c} (v)

10 lo g_{6} (x) - 2 lo g_{6} (y)

lo g_{10} (23 pq)

lo g_{b} (\frac{32}{125})

What is log_{2}(4/(sqrt(x+3))) ?
The solution to log_{2}(4/(sqrt(x+3))) is 2-log_{2}(sqrt(x+3))