4^{6x+3}=32^{x(5-x)}

Lösung

4^{6 x + 3} = 3 2^{x (5 - x)}

x = \frac{3}{5}, x = 2

Dezimale

x = 0.6, x = 2

Schritte zur Lösung

4^{6 x + 3} = 3 2^{x (5 - x)}

Wende Exponentenregel an

2 (6 x + 3) = 5 x (5 - x)

Löse

2 (6 x + 3) = 5 x (5 - x) : x = \frac{3}{5}, x = 2

x = \frac{3}{5}, x = 2

7^{2 x} - 11 (7^{x}) + 10 = 0

2 7^{3 x} = 81

3^{x + 2} = 9^{2 x - 1}

7^{3 x - 17} = 4 9^{x}

(- 8)^{x} = - 125