
数学这两道题怎么做?
1个回答
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(1)2^[log(4,(√3+2)^2)]+3^[log(9,(√3-2)^2)]
=2^[log(2^2,(√3+2)^2)]+3^[log(3^2,(√3-2)^2)]
=2^[log(2,√3+2)]+3^[log(3,√3-2)]
=√3+2+√3-2
=2√3
(2)(ln5^0)+(9/4)^(-0.5)+√(1-√2)^2-2^[log(4,2)]
=ln1+2/3+|1-√2|-2^(1/2)
=0+2/3+(√2-1)+√2
=2√2-1/3
=2^[log(2^2,(√3+2)^2)]+3^[log(3^2,(√3-2)^2)]
=2^[log(2,√3+2)]+3^[log(3,√3-2)]
=√3+2+√3-2
=2√3
(2)(ln5^0)+(9/4)^(-0.5)+√(1-√2)^2-2^[log(4,2)]
=ln1+2/3+|1-√2|-2^(1/2)
=0+2/3+(√2-1)+√2
=2√2-1/3
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