log2(0.2)×log5(8)+10^lg3=______.
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log2(0.2)×log5(8)+10^lg3=______.log2(0.2)×log5(8)+10^lg3=______.log2(0.2)×log5(8)+10^lg3=______.log2
log2(0.2)×log5(8)+10^lg3=______.
log2(0.2)×log5(8)+10^lg3=______.
log2(0.2)×log5(8)+10^lg3=______.
log2(0.2)=lg(0.2)/lg2=-lg5/lg2
log5(8)=log5(2^3)=3log5(2)=3lg2/lg5
所以log2(0.2)×log5(8)=-3
10^lg3=3
原式=-3+3=0
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log2(0.2)×log5(8)+10^lg3=
=lg0.2/lg 2 ·lg8/lg5 +3
=-lg5/lg2 ·3lg2/lg5 +3
=-3+3
=0
log2(0.2)×log5(8)+10^lg3=______.
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