1.02^x=2

Lösung

1.0 2^{x} = 2

x = \frac{ln ( 2 )}{ln ( 1.02 )}

Dezimale

x = 35.00278 \dots

Schritte zur Lösung

1.0 2^{x} = 2

Wende Exponentenregel an

x ln (1.02) = ln (2)

Löse

x ln (1.02) = ln (2) : x = \frac{ln ( 2 )}{ln ( 1.02 )}

x = \frac{ln ( 2 )}{ln ( 1.02 )}

e^{- 2 x} = \frac{1}{3}

3^{2 x - 3} = 9

7^{2 x + 3} - 8 \cdot 7^{x + 1} + 1 = 0

(0.5)^{\frac{9900}{x}} = 0

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