3^{5x-1}=5^{2x}

Lösung

3^{5 x - 1} = 5^{2 x}

x = \frac{ln ( 3 )}{5 ln ( 3 ) - 2 ln ( 5 )}

Dezimale

x = 0.48307 \dots

Schritte zur Lösung

3^{5 x - 1} = 5^{2 x}

Wende Exponentenregel an

(5 x - 1) ln (3) = 2 x ln (5)

Löse

(5 x - 1) ln (3) = 2 x ln (5) : x = \frac{ln ( 3 )}{5 ln ( 3 ) - 2 ln ( 5 )}

x = \frac{ln ( 3 )}{5 ln ( 3 ) - 2 ln ( 5 )}

8^{x} = 132

4^{8 x - 5} = 1 6^{5 x + 7}

4^{x + 2} = 8^{x}

3^{2 x} - 3^{2 x - 1} = 18

4^{x} - 2^{x + 1} - 8 = 0