3^{3x-4}=24

Lösung

3^{3 x - 4} = 24

x = \frac{ln ( 1944 )}{3 ln ( 3 )}

Dezimale

x = 2.29759 \dots

Schritte zur Lösung

3^{3 x - 4} = 24

Wende Exponentenregel an

(3 x - 4) ln (3) = ln (24)

Löse

(3 x - 4) ln (3) = ln (24) : x = \frac{ln ( 1944 )}{3 ln ( 3 )}

x = \frac{ln ( 1944 )}{3 ln ( 3 )}

4^{x + 1} + 2^{2 x} = 20

7^{x + 1} - 2 = 0

1 0^{x} + 1 0^{x + 1} - 110 = 0

so l v e f or x, w = 3^{2 x - 5}

2433 = 3^{x}