4^{5p-1}=8^{p-2}

Lösung

4^{5 p - 1} = 8^{p - 2}

p = - \frac{4}{7}

Dezimale

p = - 0.57142 \dots

Schritte zur Lösung

4^{5 p - 1} = 8^{p - 2}

Wende Exponentenregel an

2 (5 p - 1) = 3 (p - 2)

Löse

2 (5 p - 1) = 3 (p - 2) : p = - \frac{4}{7}

p = - \frac{4}{7}

\frac{1}{2} (3)^{x} = \frac{9}{2}

3^{2 x} - 3^{x} - 2 = 0

1 0^{x} = 40

1 0^{x} = 50

1 0^{x} = 64