2^{4x-1}=3^{5-2x}

Lösung

2^{4 x - 1} = 3^{5 - 2 x}

x = \frac{ln ( 486 )}{2 ln ( 12 )}

Dezimale

x = 1.24475 \dots

Schritte zur Lösung

2^{4 x - 1} = 3^{5 - 2 x}

Wende Exponentenregel an

(4 x - 1) ln (2) = (5 - 2 x) ln (3)

Löse

(4 x - 1) ln (2) = (5 - 2 x) ln (3) : x = \frac{ln ( 486 )}{2 ln ( 12 )}

x = \frac{ln ( 486 )}{2 ln ( 12 )}

2^{4 x + 3} = 6

e^{2 x} + 42 = - 13 e^{x}

2^{3 x + 1} \cdot 8^{x - 1} = 128

e^{3 - 2 x} = 8 - 3 x

2^{4 x + 3} = 512