What is the smallest integer value of $b$ such that $423_{10}$ expressed in base $b$ also has $3$ digits?
Question:
What is the smallest integer value of $b$ such that $423_{10}$ expressed in base $b$ also has $3$ digits?
Answer:
Let's think step by step.

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What is the smallest integer value of $b$ such that $423_{10}$ expressed in base $b$ also has $3$ digits?
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