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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

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

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.

where is question any link??

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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

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

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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.

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where is question any link??

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