作业帮计算:(log4 3+log8 3)×log9 √2=?
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计算:(log4 3+log8 3)×log9 √2=?
计算:(log4 3+log8 3)×log9 √2=?
计算:(log4 3+log8 3)×log9 √2=?
公式loga²(b)=1/2loga(b)
loga(b)×logb(a)=1
(log4 3+log8 3)×log9 √2
=(lg3/lg4+lg3/lg8)x1/2*lg2/(2lg3)
=[1/(2lg2)+1/(3lg2)]*lg2
=1/2+1/3
=5/6
原式=(1/2×log2 3+1/3×log2 3)×(1/4×log3 2)
=5/6×log2 3×(1/4×log3 2)
=5/24
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