3^{5x-4}=6

Lösung

3^{5 x - 4} = 6

x = \frac{ln ( 486 )}{5 ln ( 3 )}

Dezimale

x = 1.12618 \dots

Schritte zur Lösung

3^{5 x - 4} = 6

Wende Exponentenregel an

(5 x - 4) ln (3) = ln (6)

Löse

(5 x - 4) ln (3) = ln (6) : x = \frac{ln ( 486 )}{5 ln ( 3 )}

x = \frac{ln ( 486 )}{5 ln ( 3 )}

5^{5 x + 7} = 12 5^{x + 3}

\frac{62 5 ^{c - 3}}{125} = 5^{4}

100 = 1 0^{x}

3^{x} = - 27

e^{x} = \frac{1}{4}