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# https://brilliant.org/practice/algebra-shortcut-10/10/

i guess the equation satisfies for all x>512....a product of the roots might not be possible...

Note by Anuj Dalal
3 years, 9 months ago

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In words x raised to (3 - log of x to the base 8) = a

- 3 years, 9 months ago

Find the product of all the real roots of the equation: x^{3-\log_8 x} = a (0<a<1)

- 3 years, 9 months ago

I've edited the wording of the question, to make it clear that $$a$$ is a constant, as opposed to a range of values.

In future, if you submit a clarification / dispute, it will provide us with information about the specific problem.

Staff - 3 years, 9 months ago