7^x=6^{x+7}

Lösung

7^{x} = 6^{x + 7}

x = \frac{7 ln ( 6 )}{ln ( 7 ) - ln ( 6 )}

Dezimale

x = 81.36400 \dots

Schritte zur Lösung

7^{x} = 6^{x + 7}

Wende Exponentenregel an

x ln (7) = (x + 7) ln (6)

Löse

x ln (7) = (x + 7) ln (6) : x = \frac{7 ln ( 6 )}{ln ( 7 ) - ln ( 6 )}

x = \frac{7 ln ( 6 )}{ln ( 7 ) - ln ( 6 )}

3^{x} = 53

3^{x} = 38

(\frac{1}{8})^{x} = 64

10 0^{x} = 0.1

1 6^{2 x + 4} = 8^{2 x}