3^{16x}=13^{x-3}

Lösung

3^{16 x} = 1 3^{x - 3}

x = - \frac{3 ln ( 13 )}{16 ln ( 3 ) - ln ( 13 )}

Dezimale

x = - 0.51255 \dots

Schritte zur Lösung

3^{16 x} = 1 3^{x - 3}

Wende Exponentenregel an

16 x ln (3) = (x - 3) ln (13)

Löse

16 x ln (3) = (x - 3) ln (13) : x = - \frac{3 ln ( 13 )}{16 ln ( 3 ) - ln ( 13 )}

x = - \frac{3 ln ( 13 )}{16 ln ( 3 ) - ln ( 13 )}

78 + 1142 e^{- 0.8065 x} = 150

5^{x} = 5

x^{x} = 2^{512}

5^{x - 1} = 3^{2 x - 1}

x = e^{- x}