2(1+0.1275)^x=(1+0.1375)^x

Lösung

2 (1 + 0.1275)^{x} = (1 + 0.1375)^{x}

x = \frac{ln ( 2 )}{ln ( 1.1375 ) - ln ( 1.1275 )}

Dezimale

x = 78.49840 \dots

Schritte zur Lösung

2 (1 + 0.1275)^{x} = (1 + 0.1375)^{x}

Wende Exponentenregel an

ln (2) + x ln (1 + 0.1275) = x ln (1 + 0.1375)

Löse

ln (2) + x ln (1 + 0.1275) = x ln (1 + 0.1375) : x = \frac{ln ( 2 )}{ln ( 1.1375 ) - ln ( 1.1275 )}

x = \frac{ln ( 2 )}{ln ( 1.1375 ) - ln ( 1.1275 )}

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

5^{x + 1} = 3^{x + 2}

1 5^{- x + 2} = 1 1^{- 7 x}

9 = 2^{t}

e^{2 x + 3} = 0