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求2lg2/5+lg5/6-lg4/3的值?
题目详情
求2lg2/5+lg5/6-lg4/3的值?
▼优质解答
答案和解析
2lg2/5+lg5/6-lg4/3
=lg(2/5)²+lg(5/6)-lg(4/3)
=lg(4/25)+lg(5/6)-lg(4/3)
=lg[(4/25)*(5/6)/(4/3)]
=lg[(4/25)*(5/6)*(3/4)]
=lg(1/10)
=-1
=lg(2/5)²+lg(5/6)-lg(4/3)
=lg(4/25)+lg(5/6)-lg(4/3)
=lg[(4/25)*(5/6)/(4/3)]
=lg[(4/25)*(5/6)*(3/4)]
=lg(1/10)
=-1
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