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

Lösung

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

x = 1

Schritte zur Lösung

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

Wende Exponentenregel an

5 x - 2 = x + 2

Löse

5 x - 2 = x + 2 : x = 1

x = 1

2^{2 x + 7} = 2^{15}

3^{2 7^{x + 3}} = 2 7^{9^{x + 3}}

3^{2 x - 1} = 17

so l v e f or x, e^{7 - 4 x} = 6

2^{3 x + 5} = 6 4^{x - 7}