6^{x+2}=13^{9x}

Lösung

6^{x + 2} = 1 3^{9 x}

x = \frac{2 ln ( 6 )}{9 ln ( 13 ) - ln ( 6 )}

Dezimale

x = 0.16829 \dots

Schritte zur Lösung

6^{x + 2} = 1 3^{9 x}

Wende Exponentenregel an

(x + 2) ln (6) = 9 x ln (13)

Löse

(x + 2) ln (6) = 9 x ln (13) : x = \frac{2 ln ( 6 )}{9 ln ( 13 ) - ln ( 6 )}

x = \frac{2 ln ( 6 )}{9 ln ( 13 ) - ln ( 6 )}

2^{2 x + 5} - 7 (2^{x}) = 0

2^{x + 1} + 2^{2 x} = 80

4 e^{1 + 3 x} - 9 e^{5 - 2 x} = 0

(\frac{1}{3})^{x} = 9

4^{x} + 2^{x + 4} = 3