solvefor x,3^{2x-1}=28

Lösung

löse nach

x, 3^{2 x - 1} = 28

x = \frac{ln ( 84 )}{2 ln ( 3 )}

Dezimale

x = 2.01655 \dots

Schritte zur Lösung

3^{2 x - 1} = 28

Wende Exponentenregel an

(2 x - 1) ln (3) = ln (28)

Löse

(2 x - 1) ln (3) = ln (28) : x = \frac{ln ( 84 )}{2 ln ( 3 )}

x = \frac{ln ( 84 )}{2 ln ( 3 )}

8^{k + 2} = 32

2^{x + 2} = 64

2 = (\frac{1}{2})^{x}

5^{2 x} (3) - 14 (5^{x}) + 8 = 0

4^{x + 1} + 2^{x - 2} = 68