10^x=1500

Lösung

1 0^{x} = 1500

x = \frac{ln ( 1500 )}{ln ( 10 )}

Dezimale

x = 3.17609 \dots

Schritte zur Lösung

1 0^{x} = 1500

Wende Exponentenregel an

x ln (10) = ln (1500)

Löse

x ln (10) = ln (1500) : x = \frac{ln ( 1500 )}{ln ( 10 )}

x = \frac{ln ( 1500 )}{ln ( 10 )}

so l v e f or n, a^{n} = a

x^{x} = 1 0^{36 \cdot 1 0^{9}}

so l v e f or k, k^{2} t^{k} = 0

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

5^{x - 1} = 25 \cdot 5