Log^2 9(x^2)-log9(x^6)+2=0

Question

Log^2 9(x^2)-log9(x^6)+2=0

Answer 1

Log²₉x²-log₉x⁶+2=0⇒ОДЗ: x≠0; log²₉x²-3log₉x²+2=0⇒log₉x₁²=2; log₉x₂²=1⇒
2log₉x₁=2; 2log₉x₂=1⇒log₉x₁=1; log₉x₂=1/2⇒x₁=9; x₂=9^(1/2)=3