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**Problem:**

I'm trying to figure out how to solve [tex]y=x^x[/tex] for x as a function of y.

**Related Equations:**

[tex]\log_n a^b=b \ast \log_n a[/tex]

**Attempt at Solution:**

I took the natural logarithm of both sides and got: [tex]\ln y=x \ast \ln x[/tex] I don't really have any idea where to go from here.