4^{x-2}=64

Lösung

4^{x - 2} = 64

x = 5

Schritte zur Lösung

4^{x - 2} = 64

Wende Exponentenregel an

x - 2 = 3

Löse

x - 2 = 3 : x = 5

x = 5

x = e^{\frac{5 x - 6}{3}}

3 2^{- x + 22} = 6 4^{x}

2^{x} - 2^{x - 2} = 12

so l v e f or x, 3^{x} = 0

3 \cdot (\frac{1}{2})^{x} = 12