Log ² ₃ x – log ₃x-6 > 0

Question

Log ² ₃ x – log ₃x-6 > 0

Answer 1

ОДЗ: x>0
log²₃x-log₃x-6>0
(log₃x-3)(log₃x+2)>0  __+___-2___-___3__+___
log₃x<-2  x<3⁻²  x<1/9<br>log₃x>3   x>3³   x>27
x∈(0;1/9)∪(27;∞)