X¹/⁵-6*x¹/¹⁰+8<0, (x¹/¹⁰)²-6x¹/¹⁰+8<0<br>x¹/¹⁰=t, t>0
t²-6t+8<0<br>t²-6t+8=0, t₁=2, t₂=4
метод интервалов:
+ - +
---------------------------------------------- t
2 4
t>2, t<4<br>
1. x¹/¹⁰>2, (x¹/¹⁰)¹⁰>2¹⁰, x₁>1024
2. x¹/¹⁰<4, (x¹/¹⁰)¹⁰<4¹⁰, x₂<2²⁰<br>x∈(2¹⁰;2²⁰)