4^{6x}=14^{x+2}

Lösung

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

x = \frac{2 ln ( 14 )}{ln ( \frac{2048}{7} )}

Dezimale

x = 0.92945 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

6 x ln (4) = (x + 2) ln (14)

Löse

6 x ln (4) = (x + 2) ln (14) : x = \frac{2 ln ( 14 )}{ln ( \frac{2048}{7} )}

x = \frac{2 ln ( 14 )}{ln ( \frac{2048}{7} )}