Решите уравнение: 2log4x+3logx4=5.

2log(4)x+3/log(4)x=5
2log²(4)x-5log(4)x+3=0    log(4)x≠0⇒x≠1
log(4)x=a
2a²-5a+3=0
D=25-24=1
a1=(5-1)/4=1⇒log(4)x=1⇒x=4
a2=(5+1)/4=3/2⇒log(4)x=3/2⇒x=√64=8