计算:log3 8×log4 27+5^(1-log5 2)+(27/8)^-(2/3)+sin3π/2
问题描述：
计算:log3 8×log4 27+5^(1-log5 2)+(27/8)^-(2/3)+sin3π/2
答
=3lg2/lg3×3lg3/2lg2+5^(log5 5/2)+4/9-1
=9/2+5/2+4/9-1
=6+4/95^(log5 5/2)怎么来的？1-log5 2=log5 5-log5 2=log5 5/2 或5^(1-log5 2)=5^1÷(5^log5 2)=5/2