3=2^{5x}

Lösung

3 = 2^{5 x}

x = \frac{ln ( 3 )}{5 ln ( 2 )}

Dezimale

x = 0.31699 \dots

Schritte zur Lösung

3 = 2^{5 x}

Wende Exponentenregel an

ln (3) = 5 x ln (2)

Löse

ln (3) = 5 x ln (2) : x = \frac{ln ( 3 )}{5 ln ( 2 )}

x = \frac{ln ( 3 )}{5 ln ( 2 )}

2^{2 x + 1} + 2^{x} - 3 = 0

(32)^{x + 10} = 8

\frac{1}{2} = e^{x}

4 e^{x} = 1

9 e^{5 x} = 1269