6^x=3^{x+1}

Lösung

6^{x} = 3^{x + 1}

x = \frac{ln ( 3 )}{ln ( 2 )}

Dezimale

x = 1.58496 \dots

Schritte zur Lösung

6^{x} = 3^{x + 1}

Wende Exponentenregel an

x ln (6) = (x + 1) ln (3)

Löse

x ln (6) = (x + 1) ln (3) : x = \frac{ln ( 3 )}{ln ( 2 )}

x = \frac{ln ( 3 )}{ln ( 2 )}

5^{7 x + 4} = 3^{x + 2}

e^{- 5 x} = 10

6 4^{x} - 8^{x} - 56 = 0

e^{x} + 4 e^{- x} = 5

6 4^{x^{2}} = 25 6^{x}