Solve Logarithmic Equation with Unknowmn Base

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In this video, the steps to solve an equations with logarithms with logarithms of different bases and an unknown base are presented.
Question
Solve the Equation
\[ \log_{_2} (x) = \log_{_\sqrt[3]{x}} (8) \]

More References and links

  1. Math Videos
  2. Solve Equations with Logarithms