10^x=31

Lösung

1 0^{x} = 31

x = \frac{ln ( 31 )}{ln ( 10 )}

Dezimale

x = 1.49136 \dots

Schritte zur Lösung

1 0^{x} = 31

Wende Exponentenregel an

x ln (10) = ln (31)

Löse

x ln (10) = ln (31) : x = \frac{ln ( 31 )}{ln ( 10 )}

x = \frac{ln ( 31 )}{ln ( 10 )}

1 0^{x} = 87

2 5^{3 x + 2} = 125

3^{x} + 5 \cdot 3^{x} = 54

x^{2} 1 0^{x} - x 1 0^{x} = 2 (1 0^{x})

so l v e f or x, 3^{x} = 5