Help pls​

Question

Help pls​

Answer 1

Log(x)2-log(4)x+7/6=0

1)x>0;x≠1

2)1/log(2)x-1/2*log(2)x+7/6=0
log(2)x=t
(1/t)-t/2+7/6=0

6-3t²+7t=0
3t²-7t-6=0
D=49+72=121=11²
t=(7±11)/6
t1=3;t2=-4/6=-2/3
log(2)x=3
x=2³=8
log(2)x=-2/3
x=(1/2)²/³