12^{x-2}=4^x

Lösung

1 2^{x - 2} = 4^{x}

x = \frac{2 ln ( 12 )}{ln ( 3 )}

Dezimale

x = 4.52371 \dots

Schritte zur Lösung

1 2^{x - 2} = 4^{x}

Wende Exponentenregel an

(x - 2) ln (12) = x ln (4)

Löse

(x - 2) ln (12) = x ln (4) : x = \frac{2 ln ( 12 )}{ln ( 3 )}

x = \frac{2 ln ( 12 )}{ln ( 3 )}

9^{- x + 1} = 3^{x + 11}

e^{a x} = c e^{b x}

4^{2 x + 1} = 8^{4 x}

2^{x + 2} = 5^{x - 3}

2 = 3 e^{4 x}