3125^{x-4}=625^{x+3}

Lösung

312 5^{x - 4} = 62 5^{x + 3}

x = 32

Schritte zur Lösung

312 5^{x - 4} = 62 5^{x + 3}

Wende Exponentenregel an

5 (x - 4) = 4 (x + 3)

Löse

5 (x - 4) = 4 (x + 3) : x = 32

x = 32

4 \cdot 8^{x - 1} = 3 \cdot 5^{2 x + 1}

2^{x - 3} = 7

70 = 120 e^{2 k} + 25

2 e^{- x} x - e^{- x} (x^{2} - 3) = 0

0 = e^{x} - 4