The original formula = (1/4) log3 (27)-log3 (3) +2lg5+lg4 (the original question is wrong)+2.

=( 1/4)* 3- 1+lg25+lg4+2

=- 1/4+lg(25*4)+2

=- 1/4+lg 100+2

=- 1/4+2+2

= 15/4