设lg2=a,lg3=b,那么lg1.8=_.

问题描述:

设lg2=a,lg3=b,那么lg

1.8
=______.

lg

1.8
=
1
2
lg1.8=
1
2
lg
18
10
=
1
2
lg
2×9
10

=
1
2
(lg 2+lg 9-1)
=
1
2
(lg2+2lg3−1)

=
1
2
(a+2b-1).
故答案为 
a+2b−1
2