2^{3x-4}=11

Lösung

2^{3 x - 4} = 11

x = \frac{ln ( 176 )}{3 ln ( 2 )}

Dezimale

x = 2.48647 \dots

Schritte zur Lösung

2^{3 x - 4} = 11

Wende Exponentenregel an

(3 x - 4) ln (2) = ln (11)

Löse

(3 x - 4) ln (2) = ln (11) : x = \frac{ln ( 176 )}{3 ln ( 2 )}

x = \frac{ln ( 176 )}{3 ln ( 2 )}

1 6^{t - 0.25} = \frac{1 6 ^{t}}{2}

2^{x} - 4^{x} - 72 = 0

2^{x + 1} = 300

2^{3 x} 2^{5} = 256

0^{x} = 1