一道高一对数题[2lg(2)+lg(3)]/[1+1/2lg(0.36)+1/3lg(8)] (求值)
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一道高一对数题
[2lg(2)+lg(3)]/[1+1/2lg(0.36)+1/3lg(8)] (求值)
[2lg(2)+lg(3)]/[1+1/2lg(0.36)+1/3lg(8)] (求值)
![一道高一对数题[2lg(2)+lg(3)]/[1+1/2lg(0.36)+1/3lg(8)] (求值)](/uploads/image/z/7928116-52-6.jpg?t=%E4%B8%80%E9%81%93%E9%AB%98%E4%B8%80%E5%AF%B9%E6%95%B0%E9%A2%98%5B2lg%EF%BC%882%EF%BC%89%2Blg%EF%BC%883%EF%BC%89%5D%2F%5B1%2B1%2F2lg%280.36%29%2B1%2F3lg%288%29%5D+%28%E6%B1%82%E5%80%BC%29)
[2lg(2)+lg(3)]/[1+1/2lg(0.36)+1/3lg(8)]
=[lg(2)²+lg(3)]/[lg(10)+1/2lg(0.6²)+1/3lg(2³)]
=[lg(4)+lg(3)]/[lg(10)+(1/2)(2)lg(0.6)+(1/3)(3)lg(2)]
=[lg(4*3)]/[lg(10)+lg(0.6)+lg(2)]
=[lg(12)]/[lg(10*0.6*2)]
=[lg(12)]/[lg(12)]
=1
=[lg(2)²+lg(3)]/[lg(10)+1/2lg(0.6²)+1/3lg(2³)]
=[lg(4)+lg(3)]/[lg(10)+(1/2)(2)lg(0.6)+(1/3)(3)lg(2)]
=[lg(4*3)]/[lg(10)+lg(0.6)+lg(2)]
=[lg(12)]/[lg(10*0.6*2)]
=[lg(12)]/[lg(12)]
=1
一道高一对数题[2lg(2)+lg(3)]/[1+1/2lg(0.36)+1/3lg(8)] (求值)
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求值:1/2lg32/49-4/3lg根号8+lg根号245
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lg(2-x)-lg(x-1)>0
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