16^{r-2}=64^{r+2}

Lösung

1 6^{r - 2} = 6 4^{r + 2}

r = - 10

Schritte zur Lösung

1 6^{r - 2} = 6 4^{r + 2}

Wende Exponentenregel an

2 (r - 2) = 3 (r + 2)

Löse

2 (r - 2) = 3 (r + 2) : r = - 10

r = - 10

e^{2 x} + 2 e^{x} - 24 = 0

5^{3 x + 1} = - 5

3^{2 x} = 9^{5 x - 4}

4^{x + 1} - 9 (2)^{x} = - 2

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