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Beliebt Algebra >

(4-x)^{x^3-4x}=(4-x)^{(x^2-4)(x-1)}

Lösung

(4 - x)^{x^{3} - 4 x} = (4 - x)^{(x^{2} - 4) (x - 1)}

Lösung

x = 3, x = 2, x = - 2

Schritte zur Lösung

(4 - x)^{x^{3} - 4 x} = (4 - x)^{(x^{2} - 4) (x - 1)}

Wende Exponentenregel an

(x^{3} - 4 x) ln (4 - x) = (x^{2} - 4) (x - 1) ln (4 - x)

Löse

(x^{3} - 4 x) ln (4 - x) = (x^{2} - 4) (x - 1) ln (4 - x) : x = 3, x = 2, x = - 2

x = 3, x = 2, x = - 2

Graph

Beliebte Beispiele

6^{x} = 9^{x}

27^{x-1}=(1/9)^x

2 7^{x - 1} = (\frac{1}{9})^{x}

solvefor x,2u+3v=e^x(cos(y)-sin(y))

so l v e f or x, 2 u + 3 v = e^{x} (cos (y) - sin (y))

e^{y} = 0

2^{x+3}=4^{x-1}

2^{x + 3} = 4^{x - 1}