求解lg 5^2+lg 2*lg 50+(lg2)^2
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求解lg 5^2+lg 2*lg 50+(lg2)^2
求解,①②③题.
(1)原式=2lg5+lg2×(lg50+lg2)
=2lg5+lg2×2
=2(lg5+lg2)
=2×1
=2;
(2)原式=(1/2)log2(7/48)-(1/2)log2(42)+log2(12)
=(1/2)log2(7/48×1/42)+log2(12)
=(1/2)log2(1/288)+log2(12)
=(1/2)log2(1/288)+(1/2)log2(144)
=(1/2)log2(144/288)
=(1/2)×(-1)
=-1/2;
(3)原式=4lg2+3lg5+lg5
=4lg2+4lg5
=4(lg2+lg5)
=4×lg10
=4×1
=4;
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=2lg5+lg2×2
=2(lg5+lg2)
=2×1
=2;
(2)原式=(1/2)log2(7/48)-(1/2)log2(42)+log2(12)
=(1/2)log2(7/48×1/42)+log2(12)
=(1/2)log2(1/288)+log2(12)
=(1/2)log2(1/288)+(1/2)log2(144)
=(1/2)log2(144/288)
=(1/2)×(-1)
=-1/2;
(3)原式=4lg2+3lg5+lg5
=4lg2+4lg5
=4(lg2+lg5)
=4×lg10
=4×1
=4;
您好,很高兴为您解答,skyhunter002为您答疑解惑
如果本题有什么不明白可以追问,如果满意记得采纳
如果有其他问题请采纳本题后另发点击向我求助,答题不易,请谅解,谢谢.
祝学习进步
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