Question

化简

(log232+log 1 2 8-2log 1 4 1)(lg2+lg5)lg8

lg2

的值为______．

Answer 1

原式=

(log225+log2-123-20) ( lg2×5)lg23

lg2

=

(5-3-1)×1×3lg2

lg2

=3
故答案为：3