5^{2x-3}=4

Lösung

5^{2 x - 3} = 4

x = \frac{ln ( 500 )}{2 ln ( 5 )}

Dezimale

x = 1.93067 \dots

Schritte zur Lösung

5^{2 x - 3} = 4

Wende Exponentenregel an

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

Löse

(2 x - 3) ln (5) = ln (4) : x = \frac{ln ( 500 )}{2 ln ( 5 )}

x = \frac{ln ( 500 )}{2 ln ( 5 )}

e^{2 x} = e^{8} - 5

3 = 1 0^{x}

4^{x} - 2^{x} - 2 = 0

3^{x - 1} = 4

2^{x + 4} = e^{3 x}