Question

Help pls
$log_{x}(2) - log_{4}(x) + \frac{7}{6} = 0$
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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