What is log_{2}(8/(sqrt(x+7))) ?

The solution to log_{2}(8/(sqrt(x+7))) is 3-log_{2}(sqrt(x+7))

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simplify log_{2}(8/(sqrt(x+7)))

simplify

lo g_{2} (\frac{8}{x + 7})

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

Solution steps

lo g_{2} (\frac{8}{x + 7})

Apply log rule:

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

lo g_{2} (\frac{8}{x + 7}) = lo g_{2} (8) - lo g_{2} (x + 7)

= lo g_{2} (8) - lo g_{2} (x + 7)

lo g_{2} (8) = 3

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

lo g_{2} (2 x + 1) - 5 lo g_{4} (x^{2}) + 4 lo g_{2} (x)

lo g_{3} ((\frac{3}{x})^{3})

lo g_{10} (3 \cdot 1 0^{x})

lo g_{5} (8) - lo g_{5} (3)

lo g_{3} (28) - lo g_{3} (7)

What is log_{2}(8/(sqrt(x+7))) ?
The solution to log_{2}(8/(sqrt(x+7))) is 3-log_{2}(sqrt(x+7))