8^{5x+8}=3

Lösung

8^{5 x + 8} = 3

x = \frac{ln ( 3 ) - 24 ln ( 2 )}{15 ln ( 2 )}

Dezimale

x = - 1.49433 \dots

Schritte zur Lösung

8^{5 x + 8} = 3

Wende Exponentenregel an

(5 x + 8) ln (8) = ln (3)

Löse

(5 x + 8) ln (8) = ln (3) : x = \frac{ln ( 3 ) - 24 ln ( 2 )}{15 ln ( 2 )}

x = \frac{ln ( 3 ) - 24 ln ( 2 )}{15 ln ( 2 )}

e^{6 x} - e^{x} = 0

2^{2 x - 3} = 5^{1 - x}

5^{x - 1} = 8^{x + 1}

9^{X} - 6 \cdot 3^{X} - 81 = 0

25 (12 5^{x}) = 1