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Beliebt Algebra >

4^{2x^2-11x+15}=1

Lösung

4^{2 x^{2} - 11 x + 15} = 1

Lösung

x = \frac{5}{2}, x = 3

+1

Dezimale

x = 2.5, x = 3

Schritte zur Lösung

4^{2 x^{2} - 11 x + 15} = 1

Wende Exponentenregel an

(2 x^{2} - 11 x + 15) ln (4) = ln (1)

Löse

(2 x^{2} - 11 x + 15) ln (4) = ln (1) : x = \frac{5}{2}, x = 3

x = \frac{5}{2}, x = 3

Graph

Beliebte Beispiele

2(2^{2x})+9(2^x)-5=0

2 (2^{2 x}) + 9 (2^{x}) - 5 = 0

4^{x+2}-5(4^x)=99

4^{x + 2} - 5 (4^{x}) = 99

25^{3x}=125^{4x-2}

2 5^{3 x} = 12 5^{4 x - 2}

5^{x + 1} + 5 x = 6

4(3^x)=3(6^{(3x-3)})

4 (3^{x}) = 3 (6^{(3 x - 3)})