Решите уравнение log3 x=3log3 8-3log3 4

Question

Решите уравнение log3 x=3log3 8-3log3 4

Answer 1

log3 x=3log3 8-3log3 4

x>0

log3 x=log3 8^3 -  log3 4^3

log3 x = log3 8^3/4^3

x = 2^3 = 8

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log3 x=3 (log3 8 - log3 4) = 3 log3 8/4 = 3 log3 2 = log3 2^2 = log 3 8

x=8