Question

化简：

lg5•lg8000+(lg2 3 )2

lg600- 1 2 lg0.036- 1 2 lg0.1

=______．

Answer 1

原式=

lg5?(lg8+3)+( 3 lg2)2

lg6+2- 1 2 lg 36 1000 - 1 2 lg 1 10

=

lg5?(3lg2+3)+3(lg2)2

lg6+2- 1 2 (2lg6-3)+ 1 2

=

3lg5?lg2+3lg5+3(lg2)2

4

=

3lg2(lg5+lg2)+3lg5

4

=

3lg2+3lg5

4

=

3

4

，
故答案为：

3

4

．