求值,lg2+log3(27)+lg5+3的1-log3(2)次幂+A3的二次幂+sin3兀/2
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求值,lg2+log3(27)+lg5+3的1-log3(2)次幂+A3的二次幂+sin3兀/2
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![求值,lg2+log3(27)+lg5+3的1-log3(2)次幂+A3的二次幂+sin3兀/2](/uploads/image/z/18736794-18-4.jpg?t=%E6%B1%82%E5%80%BC%2Clg2%2Blog3%EF%BC%8827%EF%BC%89%2Blg5%2B3%E7%9A%841-log3%EF%BC%882%EF%BC%89%E6%AC%A1%E5%B9%82%2BA3%E7%9A%84%E4%BA%8C%E6%AC%A1%E5%B9%82%2Bsin3%E5%85%80%2F2)
原式=lg2+log3(3^3)+lg5+3^[1-log3(2)]+A3的二次幂+sin3兀/2
=lg2+3log3(3)+lg5+3*log3[(2^(-1)]+A3的二次幂+sin3兀/2
=(lg2+lg5)+3log3(3)+3*3^log3[(2^(-1)]+A3的二次幂+sin3兀/2
=1+3+3*(1/2)+A3的二次幂-1
=9/2+A3的二次幂
=lg2+3log3(3)+lg5+3*log3[(2^(-1)]+A3的二次幂+sin3兀/2
=(lg2+lg5)+3log3(3)+3*3^log3[(2^(-1)]+A3的二次幂+sin3兀/2
=1+3+3*(1/2)+A3的二次幂-1
=9/2+A3的二次幂
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