5^{x-2}=11.18

Lösung

5^{x - 2} = 11.18

x = \frac{ln ( 11.18 )}{ln ( 5 )} + 2

Dezimale

x = 3.49998 \dots

Schritte zur Lösung

5^{x - 2} = 11.18

Wende Exponentenregel an

(x - 2) ln (5) = ln (11.18)

Löse

(x - 2) ln (5) = ln (11.18) : x = \frac{ln ( 11.18 )}{ln ( 5 )} + 2

x = \frac{ln ( 11.18 )}{ln ( 5 )} + 2

- 8 e^{- x} = 0

2^{3 x - 2} = 1 6^{x + 4}

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

2^{5 x} = 94

\frac{1}{8} = 8^{x}