5^{x-2}=4^{2x+3}

Lösung

5^{x - 2} = 4^{2 x + 3}

x = \frac{2 ln ( 40 )}{ln ( 5 ) - 4 ln ( 2 )}

Dezimale

x = - 6.34290 \dots

Schritte zur Lösung

5^{x - 2} = 4^{2 x + 3}

Wende Exponentenregel an

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

Löse

(x - 2) ln (5) = (2 x + 3) ln (4) : x = \frac{2 ln ( 40 )}{ln ( 5 ) - 4 ln ( 2 )}

x = \frac{2 ln ( 40 )}{ln ( 5 ) - 4 ln ( 2 )}

3 2^{3 p + 2} = 1 6^{p - 1}

3^{2 (x + 1)} - 18 \cdot 3^{x} + 9 = 0

2^{x} - 2^{x - 2} = 3 (2^{13})

3 e^{2 x} = 4.2

4^{x} + 1 = 2^{x + 1}