7^{3x-12}=8

Lösung

7^{3 x - 12} = 8

x = \frac{3 ln ( 2 ) + 12 ln ( 7 )}{3 ln ( 7 )}

Dezimale

x = 4.35620 \dots

Schritte zur Lösung

7^{3 x - 12} = 8

Wende Exponentenregel an

(3 x - 12) ln (7) = ln (8)

Löse

(3 x - 12) ln (7) = ln (8) : x = \frac{3 ln ( 2 ) + 12 ln ( 7 )}{3 ln ( 7 )}

x = \frac{3 ln ( 2 ) + 12 ln ( 7 )}{3 ln ( 7 )}

1 9^{x + 8} = 10

2^{2 x + 1} + 4 = 2^{x + 3} + 2^{x}

2 e^{3 x + 11} = 3

3 6^{5 x + 2} = (\frac{1}{6})^{11 - x}

(9 x)^{x} = 9^{3^{18}}