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Question

Determine the logarithmic function of ln(1+5x)⁻⁵.

a.

5x + \(\frac{25x^2}{2} + \frac{125x^3}{3} + \frac{625x^4}{4}\) …

b.

x – \(\frac{25x^2}{2} + \frac{625x^3}{3} – \frac{3125x^4}{4}\) …

c.

\(\frac{125x^2}{3} – 625x^3 + \frac{3125x^4}{5}\) …

d.

-25x + \(\frac{125x^2}{2} – \frac{625x^3}{3} + \frac{3125x^4}{4}\) …

Answer: (d).-25x + \(\frac{125x^2}{2} – \frac{625x^3}{3} + \frac{3125x^4}{4}\) …

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Q. Determine the logarithmic function of ln(1+5x)⁻⁵.