Вычислить log(3)4-4log(3)4_9+log(3)1

Question

Вычислить log(3)4-4log(3)4_9+log(3)1

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Answer 1

Log3 4-4log3 2 + log3 4/9 + log3 1 = log3 (4/2^4) + log3 4/9 + log3 1 =  log3 (4/16) + log3 4/9 + log3 1 = log3 (4/16 * 4/9) + log3 1 =  log3 (1/9) + log3 1 = log3 1/9*1 = log3 (1/3)^2 = log3 3^-2 = -2