(1/3)^x=52

Lösung

(\frac{1}{3})^{x} = 52

x = - \frac{ln ( 52 )}{ln ( 3 )}

Dezimale

x = - 3.59657 \dots

Schritte zur Lösung

(\frac{1}{3})^{x} = 52

Wende Exponentenregel an

x ln (\frac{1}{3}) = ln (52)

Löse

x ln (\frac{1}{3}) = ln (52) : x = - \frac{ln ( 52 )}{ln ( 3 )}

x = - \frac{ln ( 52 )}{ln ( 3 )}

\frac{9 ^{x^{2} - x}}{3 ^{3 x - 2}} = 1

4^{(1 - x)} = 3^{(2 x + 3)}

e^{e^{e^{x}}} = 15.1546741867000 \dots

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

8 = 3^{x}