A.\({\log _{{a^2}}}\left( {ab} \right) = \frac{1}{2}{\log _a}b\)
B.\({\log _{{a^2}}}\left( {ab} \right) = 2 + 2{\log _a}b\)
C.\({\log _{{a^2}}}\left( {ab} \right) = \frac{1}{4}{\log _a}b\)
D.\({\log _{{a^2}}}\left( {ab} \right) = \frac{1}{2} + \frac{1}{2}{\log _a}b\)

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