Question

Помогите пожалуйста решить уравнение

Answer 1

Log₃x + log₉x + log₂₇x = 22/3
log₃x + log₃²x + log₃³x = 22/3
log₃x + 1/2log₃x + 1/3log₃x = 22/3
log₃x(1 + 1/2 + 1/3) = 22/3
log₃x·11/6 = 22/3
log₃x = 4
x = 3² = 81
Ответ: x = 81.

Answer 2

ОДЗ
x>0
log(30x+1/2*log(3)x+1/3*log(3)x=22/3

11/6*log(3)x=22/3
log(3)x=22/3:11/6=22/3*6/11
log(3)x=4
x=81