Решите уравнение: log3(x-1)+log9(x-1)=3

Question

Решите уравнение: log3(x-1)+log9(x-1)=3

Answer 1

ОДЗ x-1>0⇒x>1
log(3)(x-1)+1/2*log(3)(x-1)=3
1,5log(3)(x-1)=3
log(3)(x-1)=2
x-1=9
x=10