2^{x+4}-2^{x+3}=1

Lösung

2^{x + 4} - 2^{x + 3} = 1

x = - 3

Schritte zur Lösung

2^{x + 4} - 2^{x + 3} = 1

Faktorisiere

2^{x + 4} - 2^{x + 3} : 2^{x + 3}

2^{x + 3} = 1

Wende Exponentenregel an

(x + 3) ln (2) = ln (1)

Löse

(x + 3) ln (2) = ln (1) : x = - 3

x = - 3

so l v e f or p, \frac{a ^{8}}{a ^{p}} = a^{2}

(- 1)^{x} = 0

3^{x} = - 3

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

3^{x} = - 1