\({\log _{{a^3}}}\left( {\dfrac{a}{{\sqrt b }}} \right) = \dfrac{1}{3}\left( {1 + \dfrac{1}{2}{{\log }_a}b} \right).\)

\({\log _{{a^3}}}\left( {\dfrac{a}{{\sqrt b }}} \right) = \dfrac{1}{3}\left( {1 - 2{{\log }_a}b} \right).\)

\({\log _{{a^3}}}\left( {\dfrac{a}{{\sqrt b }}} \right) = \dfrac{1}{3}\left( {1 - \dfrac{1}{2}{{\log }_a}b} \right).\)

\({\log _{{a^3}}}\left( {\dfrac{a}{{\sqrt b }}} \right) = 3\left( {1 - \dfrac{1}{2}{{\log }_a}b} \right).\)