3^{1-(2*x)}=4^x

Lösung

3^{1 - (2 \cdot x)} = 4^{x}

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

Dezimale

x = 0.30657 \dots

Schritte zur Lösung

3^{1 - (2 x)} = 4^{x}

Wende Exponentenregel an

(1 - 2 x) ln (3) = x ln (4)

Löse

(1 - 2 x) ln (3) = x ln (4) : x = \frac{ln ( 3 )}{2 ln ( 6 )}

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

e^{2} x - 3 e^{x} + 2 = 0

e^{z} = 2

e^{z} = 1

2^{- 2 x - 5} = 6^{4 - 4 x}

5^{x} - 2 + 5^{x} - 1 = \frac{30}{5}