8^x=9

Lösung

8^{x} = 9

x = \frac{2 ln ( 3 )}{3 ln ( 2 )}

Dezimale

x = 1.05664 \dots

Schritte zur Lösung

8^{x} = 9

Wende Exponentenregel an

x ln (8) = ln (9)

Löse

x ln (8) = ln (9) : x = \frac{2 ln ( 3 )}{3 ln ( 2 )}

x = \frac{2 ln ( 3 )}{3 ln ( 2 )}

3^{m - 1} + 3^{m} - 12 = 0

3 (3^{2 x}) + 14 (3^{x}) - 5 = 0

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

49 (7^{2 x}) - 344 (7^{x}) + 7 = 0

1 6^{m - 1} = 4^{m + 1}