14^{6x}=64^{x+3}

Lösung

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

x = \frac{3 ln ( 2 )}{ln ( 7 )}

Dezimale

x = 1.06862 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

6 x ln (14) = (x + 3) ln (64)

Löse

6 x ln (14) = (x + 3) ln (64) : x = \frac{3 ln ( 2 )}{ln ( 7 )}

x = \frac{3 ln ( 2 )}{ln ( 7 )}

5^{2 x - 1} + 2 = 7

l o g f or m e^{x} = 2

3 6^{x + 3} = 216

2 = 10 0^{x}

3^{x} + 3^{x - 1} + 3^{x + 1} = 117