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  • 已知lg2=0.3010,lg3=0.4771,則lg5= ,lg12= ,log(1/2)90=

    已知lg2=0.3010,lg3=0.4771,則lg5= ,lg12= ,log(1/2)90=
    數(shù)學(xué)人氣:673 ℃時(shí)間:2020-02-05 07:02:35
    優(yōu)質(zhì)解答
    lg5
    =lg(10/2)
    =lg10-lg2
    =1-0.3010
    =0.6989;
    lg12
    =lg(4*3)
    =lg4+lg3
    =lg2²+lg3=
    2lg2+lg3
    =2*0.3010+0.4771
    =1.0791;
    log(1/2)90
    =lg90/lg(1/2) [換底公式]
    =lg(3²*10)/lg(1/2)
    =(lg3²+lg10)/(lg1-lg2)
    =(2lg3+1)/(0-lg2)
    =(2*0.4771+1)/(-0.3011)
    =-6.4902
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