5^{2x+1}=3125

Lösung

5^{2 x + 1} = 3125

x = 2

Schritte zur Lösung

5^{2 x + 1} = 3125

Wende Exponentenregel an

2 x + 1 = 5

Löse

2 x + 1 = 5 : x = 2

x = 2

5^{m} - 4 (3^{m}) = 0

4^{(x + 1)} + 2^{(x + 3)} = 320

3^{l o g_{3} (x - 2)} = 5

3^{2 x + 1} = 9

so l v e f or x, 2^{x + y} = 1