25^{x-2}=5^{x+3}

Lösung

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

x = 7

Schritte zur Lösung

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

Wende Exponentenregel an

2 (x - 2) = x + 3

Löse

2 (x - 2) = x + 3 : x = 7

x = 7

1000 = 850 (1.025)^{n}

2^{x + 4} = 8

ln (13 e^{4 x}) = ln (2)

5^{x} + 5^{3 x} = 10

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