log-2-2-x-4-log-2-4-x-8-16-30-3x-4-x-2-0-

Question Number 80639 by jagoll last updated on 05/Feb/20

\frac{\log_{2}^{2} (x - 4) - \log_{2} {(4 - x)}^{8} + 16}{30 - 3 x - {(4 - x)}^{2}} ⩾ 0

Commented by john santu last updated on 05/Feb/20

\frac{\log_{2}^{2} (x - 4) - {8 \log}_{2} (x - 4) + 16}{30 - 3 x - 16 + 8 x - x^{2}} ⩾ 0

(1) x > 4

(2) \frac{{\log_{2} (x - 4) - 4}^{2}}{- x^{2} + 5 x + 14} ⩾ 0

\frac{{\log_{2} (x - 4) - 4}^{2}}{(x + 2) (x - 7)} ⩽ 0

∴ 4 < x < 7 \land x = 20

Commented by jagoll last updated on 05/Feb/20

t h a n k y o u

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