> 数学 >
7lg20•(
1
2
)lg0.7
=______.
人气:406 ℃ 时间:2020-06-09 17:40:59
解答
∵lga•lgb=lgb•lga
∴lg(algb)=lg(blga
即algb=blga
7lg20(
1
2
)
lg0.7

=20lg7(
1
2
)
lg0.7

=2lg7•10lg7(
1
2
)
lg0.7

=7•2lg7•2-lg0.7
=7•2lg7-lg0.7
=7•2lg10
=7•2
=14
故答案为14
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