Question

Срочно! Заранее спасибо!
log по осн.x 2-log по осн.4 X+7/6=0

Answer 1

log(x)2-log(4)x+7/6=0
1/log(2)x -1/2*log(2)x+7/6=0
6-3(log(2)x)²+7log(2)x=0  log(2)x≠0
log(2)x=a
3a²-7a-6=0
D=49+72=121
a1=(7-11)/6=-2/3⇒log(2)x=-2/3⇒x=1/∛4
a2=(7+11)/6=3⇒log(2)x=3⇒x=8