16^{2x-3}=4^{x+2}

Lösung

1 6^{2 x - 3} = 4^{x + 2}

x = \frac{8}{3}

Dezimale

x = 2.66666 \dots

Schritte zur Lösung

1 6^{2 x - 3} = 4^{x + 2}

Wende Exponentenregel an

2 (2 x - 3) = x + 2

Löse

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

x = \frac{8}{3}

2^{5 x - 3} = 10

\frac{e ^{x} - 2}{3} = e^{2 x} - 4

1 6^{x} = \frac{1}{64}

240 = 200 e^{x \cdot \frac{6}{12}}

(4^{x}) (4^{5}) = 4^{8}