If \(554_b\) is the base \(b\) representation of the square of the number whose base \(b\) representation is \(24_b,\) then find \(b\).

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wait so it kind of looks like it is saying this:
\[554_b=(24_b) \cdot (24_b)\]

and of course we are to find the b there

I think that looks about right

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