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Beliebt Algebra >

0.6^{x-3}=3.2^{x+4}

Lösung

0. 6^{x - 3} = 3. 2^{x + 4}

Lösung

x = \frac{ln ( 22.6492416 )}{ln ( 0.6 ) - ln ( 3.2 )}

+1

Dezimale

x = - 1.86390 \dots

Schritte zur Lösung

0. 6^{x - 3} = 3. 2^{x + 4}

Wende Exponentenregel an

(x - 3) ln (0.6) = (x + 4) ln (3.2)

Löse

(x - 3) ln (0.6) = (x + 4) ln (3.2) : x = \frac{ln ( 22.6492416 )}{ln ( 0.6 ) - ln ( 3.2 )}

x = \frac{ln ( 22.6492416 )}{ln ( 0.6 ) - ln ( 3.2 )}

Graph

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