3^{5x+3}=15

Lösung

3^{5 x + 3} = 15

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

Dezimale

x = - 0.10700 \dots

Schritte zur Lösung

3^{5 x + 3} = 15

Wende Exponentenregel an

(5 x + 3) ln (3) = ln (15)

Löse

(5 x + 3) ln (3) = ln (15) : x = \frac{ln ( \frac{5}{9} )}{5 ln ( 3 )}

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

625 = 5^{x}

2^{x + 5} = 128

4^{x + 0.5} - 17 \cdot 2^{x} + 8 = 0

4 e^{- x - 1} = 12

4^{x + 3} = 1 6^{x^{2} - 2 x}