I'm all about that base, 'bout that base, no treble

Algebra Level 1

\[(\log x^2)^2 + \log15 = 1 + \log3 - \log2, \ \ \ \ \ x = \ ? \]

Solve for positive real value of \(x\).

Details and Assumptions:

  • Although the actual value is not specified, the base of all of the logarithms given above are the same.
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