# 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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