问题 解答题
求值:
(1)lg14-2lg
7
3
+lg7-lg18
(2)(2
1
4
)
1
2
-(-9.6)0-(3
3
8
)-
2
3
+(1.5)-2
答案

(1)∵lg14-2lg

7
3
+lg7-lg18

=(lg7+lg2)-2(lg7-lg3)+lg7-(lg6+lg3)

=2lg7-2lg7+lg2+2lg3-lg6-lg3

=lg6-lg6=0.(4分)

(2)∵(2

1
4
)
1
2
-(-9.6)0-(3
3
8
)
-
2
3
+(1.5)-2

=

3
2
-1-[(
3
2
)
3
]
-
2
3
+(
3
2
)
-2

=

1
2
-(
3
2
)
-2
+(
3
2
)
-2
=
1
2
.(8分)

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