计算下列各式的值.(1)lg12.5-lg+lg;(2)2log510+log50.25;(3)2log32-log3+log38-3.

发布时间:2020-08-08 18:55:59

计算下列各式的值.
(1)lg12.5-lg+lg;
(2)2log510+log50.25;
(3)2log32-log3+log38-3.

网友回答

解:(1)lg12.5-lg+lg=lg(12.5÷×)=lg10=1;
(2)2log510+log50.25=log5102+log50.25=log5(102×0.25)=log525=log552=2log55=2×1=2;
(3)2log32-log3+log38-3
=2log32-(log332-log39)+log323-3
=2log32-log325+log332+3log32-3
=2log32-5log32+2+3log32-3
=-1.
解析分析:(1)利用对数的运算性质可求得原式=lg10=1;
(2)同理可求得原式=2log55=2;
(3)利用商、幂的对数的运算性质即可求得
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