7^{0.3x}=813

Lösung

7^{0.3 x} = 813

x = \frac{ln ( 813 )}{0.3 ln ( 7 )}

Dezimale

x = 11.47831 \dots

Schritte zur Lösung

7^{0.3 x} = 813

Wende Exponentenregel an

0.3 x ln (7) = ln (813)

Löse

0.3 x ln (7) = ln (813) : x = \frac{ln ( 813 )}{0.3 ln ( 7 )}

x = \frac{ln ( 813 )}{0.3 ln ( 7 )}

5^{x + 5} = 7

5 \cdot 2^{x} = 1 0^{x}

so l v e f or a, f (a + 2) = 2^{(a + 2)}

5^{x + 1} + 6 \cdot 5^{x} = 6

1.0 6^{x} = 4.1