4^{y-2}=3^y

Lösung

4^{y - 2} = 3^{y}

y = \frac{4 ln ( 2 )}{2 ln ( 2 ) - ln ( 3 )}

Dezimale

y = 9.63768 \dots

Schritte zur Lösung

4^{y - 2} = 3^{y}

Wende Exponentenregel an

(y - 2) ln (4) = y ln (3)

Löse

(y - 2) ln (4) = y ln (3) : y = \frac{4 ln ( 2 )}{2 ln ( 2 ) - ln ( 3 )}

y = \frac{4 ln ( 2 )}{2 ln ( 2 ) - ln ( 3 )}

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

5 = 10 e^{- 0.008 (x)}

3^{x} - 3^{x - 2} = a \cdot 3^{x}

e^{2 b} = b + 3

500000 = - 3 e^{- 5 x} + 35.156