3xlog₃x + 2 = log₂₇x³ + 6x;
3xlog₃x + 2 = log₃x + 6x;
3xlog₃x - log₃x + 2 - 6x= 0;
log₃x(3x -1) - 2(3x - 1) = 0;
(3x - 1)(log₃x - 2) = 0;
3x - 1 = 0; log₃x - 2 = 0;
3x = 1; log₃x = 2;
x₁ = 1/3. x₂ = 9
ответ: 1/3; 9.
3xlog₃x + 2 = log₂₇x³ + 6x;
3xlog₃x + 2 = log₃x + 6x;
3xlog₃x - log₃x + 2 - 6x= 0;
log₃x(3x -1) - 2(3x - 1) = 0;
(3x - 1)(log₃x - 2) = 0;
3x - 1 = 0; log₃x - 2 = 0;
3x = 1; log₃x = 2;
x₁ = 1/3. x₂ = 9
ответ: 1/3; 9.