5^{9x+5}=2

Lösung

5^{9 x + 5} = 2

x = \frac{ln ( 2 ) - 5 ln ( 5 )}{9 ln ( 5 )}

Dezimale

x = - 0.50770 \dots

Schritte zur Lösung

5^{9 x + 5} = 2

Wende Exponentenregel an

(9 x + 5) ln (5) = ln (2)

Löse

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

x = \frac{ln ( 2 ) - 5 ln ( 5 )}{9 ln ( 5 )}

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

6 \cdot 2^{\frac{x}{4}} = 222

e^{2 x} + e^{x} = 0

6^{4 x - 9} = (\frac{1}{36})^{x - 4}

3^{x + 1} + 9^{x} = 108