5^x=12

Lösung

5^{x} = 12

x = \frac{ln ( 12 )}{ln ( 5 )}

Dezimale

x = 1.54395 \dots

Schritte zur Lösung

5^{x} = 12

Wende Exponentenregel an

x ln (5) = ln (12)

Löse

x ln (5) = ln (12) : x = \frac{ln ( 12 )}{ln ( 5 )}

x = \frac{ln ( 12 )}{ln ( 5 )}

so l v e f or x, e^{x} = 0

e^{2 x} - 7 e^{x} + 10 = 0

(3^{x} + 2)^{2} = 121

2^{x} = 2

3^{1 - 2 x} = e^{2 l n (3)}