Please help me with this logarithmic equation. How do I solve it?

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1 Answer
Cesareo R.
Dec 25, 2016

No real solution.

Explanation:

The feasible solutions are (x > 0) nn (x(x^2-8x+25) > 0) but for x > 0 we have x^2-8x+25 > 0 with minimum at x =4 with value 4^2-8 cdot 4 + 25 = 9

Now log(x^3-8x^2+25x)-log(x)=log(x^2-8x+25)=1 or

x^2-8x+25 = e but as we saw previously x^2-8x+25 ge 9 so no real solutions for this equation.

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