3^{5x+2}=21

Lösung

3^{5 x + 2} = 21

x = \frac{ln ( \frac{7}{3} )}{5 ln ( 3 )}

Dezimale

x = 0.15424 \dots

Schritte zur Lösung

3^{5 x + 2} = 21

Wende Exponentenregel an

(5 x + 2) ln (3) = ln (21)

Löse

(5 x + 2) ln (3) = ln (21) : x = \frac{ln ( \frac{7}{3} )}{5 ln ( 3 )}

x = \frac{ln ( \frac{7}{3} )}{5 ln ( 3 )}

6^{x} = 4

2^{x + 2} - 4^{x + 1} = - 960

5 = 3^{x}

1 7^{x} = 2

3^{2 x - 3} = 27