Question

ПОМОГИТЕ РЕШИТЬ УРАВНЕНИЕ!
2(log3x)2=2-3 log3x

Answer 1

2(log₃x)²=2-3log₃x,
x>0
2(log₃x)²+3log₃x-2=0
log₃x=t
2t²+3t-2=0
t₁=-2, t₂=1/2
1. t₁=-2, log₃x=-2, x=3⁻², x₁=1/9

2.. t₂=1/2, log₃x=1/2, x=3¹/², x₂=√3