16^{3-a}=32^{a-1}

Lösung

1 6^{3 - a} = 3 2^{a - 1}

a = \frac{17}{9}

Dezimale

a = 1.88888 \dots

Schritte zur Lösung

1 6^{3 - a} = 3 2^{a - 1}

Wende Exponentenregel an

4 (3 - a) = 5 (a - 1)

Löse

4 (3 - a) = 5 (a - 1) : a = \frac{17}{9}

a = \frac{17}{9}

3^{x} = 4^{x + 1}

e^{x} = x + 2

e^{x} = - 7

2^{2 x - 1} = \frac{1}{8}

e^{7 x + 7} = 7 e^{7 - x}