(e^5)^{3x}=e^5e^{3x}

Lösung

(e^{5})^{3 x} = e^{5} e^{3 x}

x = \frac{5}{12}

Dezimale

x = 0.41666 \dots

Schritte zur Lösung

(e^{5})^{3 x} = e^{5} e^{3 x}

Wende Exponentenregel an

15 x = 3 x + 5

Löse

15 x = 3 x + 5 : x = \frac{5}{12}

x = \frac{5}{12}

5^{2 x - 16} = 2 5^{3 x + 2}

4^{x^{2}} \cdot 2^{5 x} = 8

7 e^{5 x + 4} = 6

e^{x} (1 + x) = 0

X^{X^{3}} = 3