问题
解答题
(1)求值:(2
(2) 求值:(lg5)2+lg2×lg50. |
答案
(1)(2
)1 4
-(-2008)0-(31 2
)-3 8
+(2 3
)-23 2
=(
)9 4
-1-(1 2
)-27 8
+(2 3
)22 3
=
-1-(3 2
)8 27
+2 3 4 9
=
-1 2
+4 9 4 9
=1 2
(2)(lg5)2+lg2×lg50=(lg5)2+lg2×(lg5+1)
=(lg5)2+lg2×lg5+lg2
=(lg5+lg2)×lg5+lg2
=1×lg5+lg2
=1.