log9((⁴√27)/3)+lg 20+log100 25+5^(log5 2)=1/2log₃(⁴√27/3)+lg20+2/2* lg5+2=1/2[log₃⁴√27-log₃3]+lg100+2=1/2[1/4log₃27-1]+2+2=1/2(3/4-1)+4=-1/8+4=31/4