Ответы на вопрос:
1) 3^(x - 1) - 3^(x - 2) = 18 (1/3)*(3^x) - (1/9)*(3^x) = 18 (2/9)*(3^x) = 18 3^x = 81 3^x = 3^4 x = 4 2) 9^(x - 1) - 3^(x - 2) = 30 (1/9)*3^(2x) - (1/9)*(3^x) - 30 = 0 3^(2x) - (3^x) - 270 = 0 d = 1 + 4*1*270 = 1081 3^x = (1 - √1081)/2 < 0 3^x = (1 + √1081)/2 x = log₃ (1 + √1081)/2
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