5^x=100000

Lösung

5^{x} = 100000

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

Dezimale

x = 7.15338 \dots

Schritte zur Lösung

5^{x} = 100000

Wende Exponentenregel an

x ln (5) = ln (100000)

Löse

x ln (5) = ln (100000) : x = \frac{5 ln ( 10 )}{ln ( 5 )}

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

so l v e f or t, e^{k t} = \frac{1}{3}

1.0 5^{n} = 2

so l v e f or y, x = e^{5 (y - 9)}

4 9^{x} + 1 = 2 (7^{x})

e^{4 x} = \frac{1}{16}