2lg(5/3)-lg(7/4)+2lg3+1/2lg49,求值.
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2lg(5/3)-lg(7/4)+2lg3+1/2lg49,求值.
请写下步骤好挖?呵呵`不能只有答案的`..
请写下步骤好挖?呵呵`不能只有答案的`..
![2lg(5/3)-lg(7/4)+2lg3+1/2lg49,求值.](/uploads/image/z/18043701-69-1.jpg?t=2lg%285%2F3%29-lg%287%2F4%29%2B2lg3%2B1%2F2lg49%2C%E6%B1%82%E5%80%BC.)
2lg(5/3)-lg(7/4)+2lg3+1/2lg49
=lg(5/3)^2-lg(7/4)+lg3^2+lg49^(1/2)
=lg(25/9)-lg(7/4)+lg9+lg7
=lg[(25/9)*9*7÷(7/4)]
=lg(25*7*4÷7)
=lg100
=lg10^2
=2
=lg(5/3)^2-lg(7/4)+lg3^2+lg49^(1/2)
=lg(25/9)-lg(7/4)+lg9+lg7
=lg[(25/9)*9*7÷(7/4)]
=lg(25*7*4÷7)
=lg100
=lg10^2
=2
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