# Normal Numbers in different bases

If a number is normal in a base $b$, it is absolutely normal. Is this an open question or is there a counter example?

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If $r$ and $s$ are multiplicatively independent integers, then it is known that there are (lots of) numbers that are normal to base $r$ but not to base $s$. I think Wolfgang Schmidt may have proved this, and there is also work by Andy Pollington.