1.15^x=2

Lösung

1.1 5^{x} = 2

x = \frac{ln ( 2 )}{ln ( 1.15 )}

Dezimale

x = 4.95948 \dots

Schritte zur Lösung

1.1 5^{x} = 2

Wende Exponentenregel an

x ln (1.15) = ln (2)

Löse

x ln (1.15) = ln (2) : x = \frac{ln ( 2 )}{ln ( 1.15 )}

x = \frac{ln ( 2 )}{ln ( 1.15 )}

2048 = 2^{x}

5^{x + 2} = 6^{x + 1}

2^{x} - \frac{1}{x} = 0

4^{(7 - 3 x)} = \frac{1}{16}

80 (5.4)^{x} = 7800