The value of
(3log27−3log33log4⋅4log81+3log9)=....
Explanation
To solve this problem, we use logarithm properties. First, simplify each part by converting the logarithm forms and using change of base.
3log27−3log33log4⋅4log81+3log9
=3log3273log4⋅4log34+3log32
=3log93log4⋅4log81+3log9
=3log94⋅3log4⋅4log3+2⋅3log3
=2⋅3log34⋅3log3+2⋅3log3
=24+2=3