6^{x+3}=3^x

Lösung

6^{x + 3} = 3^{x}

x = - \frac{3 ln ( 6 )}{ln ( 2 )}

Dezimale

x = - 7.75488 \dots

Schritte zur Lösung

6^{x + 3} = 3^{x}

Wende Exponentenregel an

(x + 3) ln (6) = x ln (3)

Löse

(x + 3) ln (6) = x ln (3) : x = - \frac{3 ln ( 6 )}{ln ( 2 )}

x = - \frac{3 ln ( 6 )}{ln ( 2 )}

0.5 \cdot 1 0^{8 t} = 73

4^{x} = 6^{1 - x}

5^{3 x + 2} + 3 \cdot 5^{6 x + 2} - 100 = 0

3^{5 x + 2} = 21

6^{x} = 4