3^x=2^{x-1}

Lösung

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

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

Dezimale

x = - 1.70951 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

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

Löse

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

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

5^{x} = 0.04

lo g_{3} (3^{2 x + 1}) = 15

1 6^{3^{2 x}} = 8^{4^{2 x}}

6^{x} = 36

2^{n} = 3600000