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Beliebt Algebra >

(64^{x^2-2x})(16^{x-5})=1

Lösung

(6 4^{x^{2} - 2 x}) (1 6^{x - 5}) = 1

Lösung

x = \frac{2 + 34}{3}, x = \frac{2 - 34}{3}

+1

Dezimale

x = 2.61031 \dots, x = - 1.27698 \dots

Schritte zur Lösung

(6 4^{x^{2} - 2 x}) (1 6^{x - 5}) = 1

Wende Exponentenregel an

(3 (x^{2} - 2 x) + 2 (x - 5)) ln (4) = ln (1)

Löse

(3 (x^{2} - 2 x) + 2 (x - 5)) ln (4) = ln (1) : x = \frac{2 + 34}{3}, x = \frac{2 - 34}{3}

x = \frac{2 + 34}{3}, x = \frac{2 - 34}{3}

Graph

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3(4^x)+4^{x-1}=52

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