4=1.05^x

Lösung

4 = 1.0 5^{x}

x = \frac{2 ln ( 2 )}{ln ( 1.05 )}

Dezimale

x = 28.41339 \dots

Schritte zur Lösung

4 = 1.0 5^{x}

Wende Exponentenregel an

ln (4) = x ln (1.05)

Löse

ln (4) = x ln (1.05) : x = \frac{2 ln ( 2 )}{ln ( 1.05 )}

x = \frac{2 ln ( 2 )}{ln ( 1.05 )}

8 (2^{x + 1}) = 2 2^{x}

2^{x + 1} + 2^{x - 1} = 10

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

5^{x + 1} + 5^{x} + 5^{x - 1} = 775

e^{2 x} = 3