8^x=12143

Lösung

8^{x} = 12143

x = \frac{ln ( 12143 )}{3 ln ( 2 )}

Dezimale

x = 4.52261 \dots

Schritte zur Lösung

8^{x} = 12143

Wende Exponentenregel an

x ln (8) = ln (12143)

Löse

x ln (8) = ln (12143) : x = \frac{ln ( 12143 )}{3 ln ( 2 )}

x = \frac{ln ( 12143 )}{3 ln ( 2 )}

2^{x - 1} = 2^{x} - 8

2^{(x^{2})} = 1 6^{x - 1}

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

2 (5 + 3^{x + 1}) = 100

2^{x + 1} = 3 x