# That's Not The Right Base

Algebra Level 3

$\large{\log_7 i = \frac{i \pi}{\ln(A)} }$

Find $$A$$.

Assume that we take the principal branch of the complex logarithm.

Notations:

• $$i = \sqrt{-1}$$ denotes the imaginary unit.
• $$\ln(\cdot)$$ denotes the natural logarithm.
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