Question

20 баллов срочно хелп!!!!!​

Answer 1

$log_{3}( {3}^{x} - 6) = x - 1$

ОДЗ:

${3}^{x} > 6 \\ x > log_{3}(6)$

${3}^{x} - 6 = {3}^{x - 1} \\ {3}^{x} - 6 = \frac{ {3}^{x} }{3} \\ 3 \times {3}^{x} - 18 - {3}^{x} =0 \\ 2 \times {3}^{x} = 18 \\ {3}^{x} = 9 \\ {3}^{x} = {3}^{2} \\ x = 2$

Ответ: 2