计算2^(1+1/2log2 5)+(lg5)^2+lg2lg50

问题描述:

计算2^(1+1/2log2 5)+(lg5)^2+lg2lg50

原式=2^[1+log2(√5)]+(lg5)²+lg2(lg5+lg10)
=2^1*2^log2(√5)]+(lg5)²+lg2lg5+lg2
=2(√5)+lg5(lg5+lg2)+lg2
=2√5+lg5+lg2
=2√5+1