5^{3x+2}=45

Lösung

5^{3 x + 2} = 45

x = \frac{ln ( \frac{9}{5} )}{3 ln ( 5 )}

Dezimale

x = 0.12173 \dots

Schritte zur Lösung

5^{3 x + 2} = 45

Wende Exponentenregel an

(3 x + 2) ln (5) = ln (45)

Löse

(3 x + 2) ln (5) = ln (45) : x = \frac{ln ( \frac{9}{5} )}{3 ln ( 5 )}

x = \frac{ln ( \frac{9}{5} )}{3 ln ( 5 )}

1 2^{2 x} = 4 \cdot 3^{x + 1}

6^{(x + 2)} = 21

3^{2 - x} = \frac{1}{81}

e^{x} = 2 x + 3

2^{3 x - 4} = 10