5^{3x+4}=45

Lösung

5^{3 x + 4} = 45

x = \frac{ln ( \frac{9}{125} )}{3 ln ( 5 )}

Dezimale

x = - 0.54492 \dots

Schritte zur Lösung

5^{3 x + 4} = 45

Wende Exponentenregel an

(3 x + 4) ln (5) = ln (45)

Löse

(3 x + 4) ln (5) = ln (45) : x = \frac{ln ( \frac{9}{125} )}{3 ln ( 5 )}

x = \frac{ln ( \frac{9}{125} )}{3 ln ( 5 )}

2 \cdot 5^{x + 1} = 250

4^{9 x + 4} = 3

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

so l v e f or y, e^{- e^{- y}} = 1 - 0.05

e^{2 x} - 9 e^{x} + 8 = 0