Question

Log3^2 x=4-3log3 x. помогите плииз

Answer 1

(log(3)x)²-4+3log(3)x=0
log(3)x=a
a²+3a-4=0
a1+a2=-3 U a1*a2=-4
a1=-4⇒log(3)x=-4⇒x=1/81
a2=1⇒log(3)x=1⇒x=3