What is log_{2}(8/(sqrt(x+4))) ?

The solution to log_{2}(8/(sqrt(x+4))) is 3-log_{2}(sqrt(x+4))

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simplify log_{2}(8/(sqrt(x+4)))

simplify

lo g_{2} (\frac{8}{x + 4})

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

Solution steps

lo g_{2} (\frac{8}{x + 4})

Apply log rule:

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

lo g_{2} (\frac{8}{x + 4}) = lo g_{2} (8) - lo g_{2} (x + 4)

= lo g_{2} (8) - lo g_{2} (x + 4)

lo g_{2} (8) = 3

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

lo g_{2} (x) - lo g_{2} (x^{8})

3 \cdot lo g_{2} (p) + 7 \cdot lo g_{2} (q)

lo g_{7} (x) - lo g_{7} (x^{8})

2 lo g_{10} (x) - lo g_{10} (x - 1)

- lo g_{10} (6.8 \cdot 1 0^{- 4})

What is log_{2}(8/(sqrt(x+4))) ?
The solution to log_{2}(8/(sqrt(x+4))) is 3-log_{2}(sqrt(x+4))