1.03^x=2

Lösung

1.0 3^{x} = 2

x = \frac{ln ( 2 )}{ln ( 1.03 )}

Dezimale

x = 23.44977 \dots

Schritte zur Lösung

1.0 3^{x} = 2

Wende Exponentenregel an

x ln (1.03) = ln (2)

Löse

x ln (1.03) = ln (2) : x = \frac{ln ( 2 )}{ln ( 1.03 )}

x = \frac{ln ( 2 )}{ln ( 1.03 )}

4^{x} + 4^{2} = 4^{x + 2}

4^{x} + 48 = 19 \cdot 2^{x}

64 (4^{2 x}) - 20 (4^{x}) + 1 = 0

3 \cdot 9^{x} - 10 \cdot 3^{x} + 3 = 0

so l v e f or x, 0 = e^{x y}