5^{3x-1}=49

Lösung

5^{3 x - 1} = 49

x = \frac{ln ( 245 )}{3 ln ( 5 )}

Dezimale

x = 1.13937 \dots

Schritte zur Lösung

5^{3 x - 1} = 49

Wende Exponentenregel an

(3 x - 1) ln (5) = ln (49)

Löse

(3 x - 1) ln (5) = ln (49) : x = \frac{ln ( 245 )}{3 ln ( 5 )}

x = \frac{ln ( 245 )}{3 ln ( 5 )}

1 0^{\frac{4}{x}} = 6

5^{x^{2} + 8} = 12 5^{2 x}

3^{2 x} = 9^{3 - x}

5^{x - 1} = 25

so l v e f or w, x^{72} + x^{w} = x^{8}