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  • 高一對(duì)數(shù)運(yùn)算,

    高一對(duì)數(shù)運(yùn)算,
    1、(lg根27+lg8-lg根1000)/(lg1.2)
    2、(1/2)lg(32/49)-(4/3)lg根8+lg根245
    數(shù)學(xué)人氣:348 ℃時(shí)間:2020-02-03 00:13:59
    優(yōu)質(zhì)解答
    1、(lg根27+lg8-lg根1000)/(lg1.2)
    =[lg3^(3/2)+lg2^3-lg10^(3/2)]/(lg1.2)
    =[lg3^(3/2)+lg4^(3/2)-lg10^(3/2)]/(lg1.2)
    =(3/2)(lg3+lg4-lg10)/(lg1.2)
    =(3/2)lg(3*4/10)/lg1.2
    =(3/2)lg1.2/lg1.2
    =3/2
    2、(1/2)lg(32/49)-(4/3)lg根8+lg根245
    =(1/2)lg(2^5/7^2)-(4/3)lg2^(3/2)+lg(5*7^2)^(1/2)
    =(1/2)lg(2^5/7^2)-(4/3)*(3/2)lg2+(1/2)*lg(5*7^2)
    =(1/2)[lg(2^5/7^2)+lg(5*7^2)]-2lg2
    =(1/2)lg(2^5*5)-2lg2
    =(1/2)lg(2^4*10)-2lg2
    =(1/2)lg2^4+(1/2)*lg10-2lg2
    =2lg2+1/2-2lg2
    =1/2
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