An algebra problem by Vikram Singh

Algebra Level pending

For each real number x, let\( \lfloor x \rfloor\) denote the greatest integer that does not exceed x.

For how many positive integers n is it true that meet two conditions.

(a) \(200 \leq x \leq 300\)

(b)\( \lfloor \log_{2}{x}\rfloor\) =\(\lfloor \log_{3}{x}\rfloor\) + \(\lfloor \log_{4}{x}\rfloor\)

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