(2/3)^x= 27/8

Lösung

(\frac{2}{3})^{x} = \frac{27}{8}

x = \frac{ln ( \frac{27}{8} )}{ln ( \frac{2}{3} )}

Dezimale

x = - 3

Schritte zur Lösung

(\frac{2}{3})^{x} = \frac{27}{8}

Wende Exponentenregel an

x ln (\frac{2}{3}) = ln (\frac{27}{8})

Löse

x ln (\frac{2}{3}) = ln (\frac{27}{8}) : x = \frac{ln ( \frac{27}{8} )}{ln ( \frac{2}{3} )}

x = \frac{ln ( \frac{27}{8} )}{ln ( \frac{2}{3} )}

1 0^{- x} = 4

5^{2 x - 3} = 1

2^{x} = 1 0^{13}

1 0^{3 x} = \frac{1}{10000}

9 = 3^{x}