2=1.0425^x

Lösung

2 = 1.042 5^{x}

x = \frac{ln ( 2 )}{ln ( 1.0425 )}

Dezimale

x = 16.65351 \dots

Schritte zur Lösung

2 = 1.042 5^{x}

Wende Exponentenregel an

ln (2) = x ln (1.0425)

Löse

ln (2) = x ln (1.0425) : x = \frac{ln ( 2 )}{ln ( 1.0425 )}

x = \frac{ln ( 2 )}{ln ( 1.0425 )}

3 3^{x - 2} = 1 7^{8 x}

57 = 2 7^{x}

2 = (0.0225)^{x}

so l v e f or x, 4^{x} - 2 (8^{y}) = 0

3^{m + 2} - 2 \cdot 3^{m} = 63