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Beliebt Algebra >

(8191/8192)^x=0.5

Lösung

(\frac{8191}{8192})^{x} = 0.5

Lösung

x = \frac{ln ( 0.5 )}{ln ( \frac{8191}{8192} )}

+1

Dezimale

x = 5677.91512 \dots

Schritte zur Lösung

(\frac{8191}{8192})^{x} = 0.5

Wende Exponentenregel an

x ln (\frac{8191}{8192}) = ln (0.5)

Löse

x ln (\frac{8191}{8192}) = ln (0.5) : x = \frac{ln ( 0.5 )}{ln ( \frac{8191}{8192} )}

x = \frac{ln ( 0.5 )}{ln ( \frac{8191}{8192} )}

Graph

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