Вычислите: [tex] \frac{2log _{2} \frac{1}{6}-log _{2} \frac{1}{9} }{log _{2} 256} [/tex]. Created by korsukova1234. algebra-ru

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Вычислите:
[tex] \frac{2log _{2} \frac{1}{6}-log _{2} \frac{1}{9} }{log _{2} 256} [/tex]

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Змей24 Log2(256) = 8
2log2(1/6) = log2(1/6) + log2(1/6) = log2(1/36)
log2(1/36) - log2(1/9) = log2(1/36 : 1/9) = log2(9/36) = log2(1/4) = -2

-2/8 = -1/4 = -0.25

Ответ: -0.25

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