Question

Решить логарифм: log3 x+logx1/9=1

Answer 1

log(3)x-2/log(3)x=1
log²(3)x-log(3)x-2=0
log(3)x=a
a²-a-2=0
a1+a2=1 U a1*a2=-2
a1=2⇒log(3)x=2⇒x=9
a2=-1⇒log(3)x=-1⇒x=1/3