# Rewrite log in exponents

Does there exist a method in Sage's symbolic ring that would be able to (automatically) rewrite expressions such as $3^{\log n}$ into $n^{\log 3}$?

Here I assume that $n$ is a positive integer.

Remark: I am quite surprised (and therefore pessimistic for my question) by the following:

```
sage: [bool(3^(log(i)) == i^(log(3))) for i in range(1, 12)]
[True, True, True, True, False, False, True, False, True, False, False]
```

I do not know if this would be helpful for your question but .canonicalize_radical() solves the problem in your example:

I used the variable k instead of i which is sqrt(-1).