3^{3x-2}= 1/54

Lösung

3^{3 x - 2} = \frac{1}{54}

x = - \frac{ln ( 6 )}{3 ln ( 3 )}

Dezimale

x = - 0.54364 \dots

Schritte zur Lösung

3^{3 x - 2} = \frac{1}{54}

Wende Exponentenregel an

(3 x - 2) ln (3) = ln (\frac{1}{54})

Löse

(3 x - 2) ln (3) = ln (\frac{1}{54}) : x = - \frac{ln ( 6 )}{3 ln ( 3 )}

x = - \frac{ln ( 6 )}{3 ln ( 3 )}

45 e^{2 k} = 225

1 0^{l o g_{10} (x^{2} + 2 x)} = 8

5 \frac{1}{243} = 3^{p}

5^{2 x} + 3 \cdot 5^{x} - 4 = 0

\frac{8 ^{n}}{2 ^{n}} = 16