Tolong co ini susah bat otak gw ga nyampe

Tolong co ini susah bat otak gw ga nyampe

$frac{ {}^{3} log(2 sqrt{2} ) + {}^{3} log(3 sqrt{3} ) + {}^{3} log(36) }{ {}^{3} log(24) - {}^{3} log(4) } \ = frac{ {}^{3} log(2 {}^{ frac{3}{2} } ) + {}^{3} log(3 {}^{ frac{3}{2} } ) + {}^{3} log(36) }{ {}^{3} log(6) } \ = frac{ frac{3}{2}. {}^{3} log(2) + frac{3}{2} + {}^{3} log(36) }{ {}^{3} log(6) } \ = frac{ frac{3}{2}( {}^{3} log(2) + 1) + {}^{3} log(6 {}^{2} ) }{{}^{3} log(6) } \ = frac{ frac{3}{2}( {}^{3} log(6) ) + {}^{3} log(6 {}^{2} ) }{ {}^{3} log(6) } \ = frac{ {}^{3} log(6 {}^{ {}^{ frac{3}{2} } } ) + {}^{3} log(6 {}^{2} ) }{ {}^{3} log(6) } \ = frac{ {}^{3} log(6 {}^{ frac{7}{2} } ) }{ {}^{3} log(6) } \ = {}^{6} log(6 {}^{ frac{7}{2} } ) \ = frac{7}{2}$

Jawaban E . 3,5