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Автовоспроизведение
Автоповтор
Lösung:4^(x²)/2^x = 8 ⟹2^(2*x²-x) = 2³ | aufgrund der selben Basis ⟹2*x²-x = 3 |/2 ⟹x²-x/2 = 3/2 |-3/2 ⟹x²-x/2-3/2 = 0 |p-q-Formel ⟹x1/2 = 1/4±√(1/16+3/2) = 1/4±√(1/16+24/16) = 1/4±5/4 ⟹x1 = 1/4+5/4 = 3/2 und x2 = 1/4-5/4 = -1
Lösung:
4^(x²)/2^x = 8 ⟹
2^(2*x²-x) = 2³ | aufgrund der selben Basis ⟹
2*x²-x = 3 |/2 ⟹
x²-x/2 = 3/2 |-3/2 ⟹
x²-x/2-3/2 = 0 |p-q-Formel ⟹
x1/2 = 1/4±√(1/16+3/2) = 1/4±√(1/16+24/16) = 1/4±5/4 ⟹
x1 = 1/4+5/4 = 3/2 und x2 = 1/4-5/4 = -1