5^{3x+4}=40

Lösung

5^{3 x + 4} = 40

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

Dezimale

x = - 0.56932 \dots

Schritte zur Lösung

5^{3 x + 4} = 40

Wende Exponentenregel an

(3 x + 4) ln (5) = ln (40)

Löse

(3 x + 4) ln (5) = ln (40) : x = \frac{ln ( \frac{2}{5} )}{ln ( 5 )}

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

5^{3 x + 4} = 35

5^{3 x + 4} = 20

5^{x} - 625 = 0

so l v e f or x, 2^{y - x} = 5^{x}

5^{3 x + 4} = 10