26. log3x + log9x + log27X = 5,5

Решим уравнение log₃x + log₉x + log₂₇x = 5,5

log₃x + log_3²x + log_3³x = 5,5

log₃x + 1/2log₃x + 1/3log₃x = 5,5

log₃x(1 + 1/2 + 1/3) = 5,5

log₃x(6/6 + 3/6 + 2/6) = 5,5

log₃x(11/6) = 11/2

log₃x = (11/2)/(11/6) = (11/2)*(6/11) = 3

x = 3³

x = 27

Ответ: 27