8/3 =2^r

Lösung

\frac{8}{3} = 2^{r}

r = \frac{ln ( \frac{8}{3} )}{ln ( 2 )}

Dezimale

r = 1.41503 \dots

Schritte zur Lösung

\frac{8}{3} = 2^{r}

Wende Exponentenregel an

ln (\frac{8}{3}) = r ln (2)

Löse

ln (\frac{8}{3}) = r ln (2) : r = \frac{ln ( \frac{8}{3} )}{ln ( 2 )}

r = \frac{ln ( \frac{8}{3} )}{ln ( 2 )}

\frac{4 ^{x + 2}}{3 ^{x + 1}} = 16

2^{x} - 1 + 2^{x} + 1 = 2

\frac{1}{8} = \frac{4}{2 ^{\frac{t}{7}}}

5^{3 x - 1} = 25

3^{x} = \frac{14}{25}