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

Lösung

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

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

Dezimale

x = - 1.70951 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

(x - 1) ln (2) = x ln (3)

Löse

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

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

1 0^{a} = 76.2

2^{x} + x = 11

1 0^{- x} = 5^{x - 1}

5 e^{x} = 1

so l v e f or x, 3^{x} = 10