1.5^x=10

Lösung

1. 5^{x} = 10

x = \frac{ln ( 10 )}{ln ( 1.5 )}

Dezimale

x = 5.67887 \dots

Schritte zur Lösung

1. 5^{x} = 10

Wende Exponentenregel an

x ln (1.5) = ln (10)

Löse

x ln (1.5) = ln (10) : x = \frac{ln ( 10 )}{ln ( 1.5 )}

x = \frac{ln ( 10 )}{ln ( 1.5 )}

1 6^{x} + 2 0^{x} - 2 5^{x} = 0

2 = 3^{x}

5^{x} + 5^{x + 1} + 5^{x - 2} + 5^{x - 3} = 780

ln (e^{x + 3}) = 10

3^{x} = \frac{1}{81}