4^{x+3}=8^{3x-4}

Lösung

4^{x + 3} = 8^{3 x - 4}

x = \frac{18}{7}

Dezimale

x = 2.57142 \dots

Schritte zur Lösung

4^{x + 3} = 8^{3 x - 4}

Wende Exponentenregel an

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

Löse

2 (x + 3) = 3 (3 x - 4) : x = \frac{18}{7}

x = \frac{18}{7}

3^{2 x - 3} = 6

2^{x - 3} = 5

9 (5^{x}) = 8^{x + 4}

5^{6 x + 1} - 6 \cdot 5^{3 x} + 1 = 0

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