4^{x+2}=16^{2x-4}

Lösung

4^{x + 2} = 1 6^{2 x - 4}

x = \frac{10}{3}

Dezimale

x = 3.33333 \dots

Schritte zur Lösung

4^{x + 2} = 1 6^{2 x - 4}

Wende Exponentenregel an

x + 2 = 2 (2 x - 4)

Löse

x + 2 = 2 (2 x - 4) : x = \frac{10}{3}

x = \frac{10}{3}

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

4^{x + 1} = 5^{x}

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

2^{x + 2} - 2^{x + 5} + 7 = 0

95 = 2 7^{x}