10^{5x}=8

Lösung

1 0^{5 x} = 8

x = \frac{3 ln ( 2 )}{5 ln ( 10 )}

Dezimale

x = 0.18061 \dots

Schritte zur Lösung

1 0^{5 x} = 8

Wende Exponentenregel an

5 x ln (10) = ln (8)

Löse

5 x ln (10) = ln (8) : x = \frac{3 ln ( 2 )}{5 ln ( 10 )}

x = \frac{3 ln ( 2 )}{5 ln ( 10 )}

e^{2 x} - 5 e^{x} = 24

5^{x + 1} + 5^{x} + 5^{x - 1} = 31

2^{x + 2} + 5 \times 2^{x - 1} = \frac{13}{16}

5^{n} = 125

e^{- 2 x} = \frac{1}{2}