Oblicz Basia: Oblicz log²₂(4x)+log₂x²−3=8

think: log²₂(4x) + log₂x² − 3 = 8 [log₂(4x)]² + 2log₂x − 11 = 0 [log₂4 + log₂x]² + 2log₂x − 11 = 0 [2 + log₂x]² + 2log₂x − 11 = 0 4 + 4log₂x + log²₂x + 2log₂x − 11 = 0 log²₂x + 6log₂x − 7 = 0 (log₂x + 3)² = 16 log₂x + 3 = 4 v log₂x + 3 = − 4 log₂x = 1 v log₂x = −7 x = 2 v x = 2⁻⁷

Basia: Dzięki za poomoc