3=2^{x-5}

Lösung

3 = 2^{x - 5}

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

Dezimale

x = 6.58496 \dots

Schritte zur Lösung

3 = 2^{x - 5}

Wende Exponentenregel an

ln (3) = (x - 5) ln (2)

Löse

ln (3) = (x - 5) ln (2) : x = \frac{ln ( 3 )}{ln ( 2 )} + 5

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

2 (3^{2 x}) - 5 (3^{x}) + 2 = 0

5 (6^{x}) = 13

e^{2 x} + 1 = 0

6 e^{- 4 x} = 2

873 \cdot 2^{x} = 97