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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