1.计算:lg 25+2/3lg 8+lg 5×lg 20+lg^(2) 2
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  • 1,lg25+2/3lg8+lg5*lg20+lg^22

    =2lg5+2lg2+lg5*(2lg2+lg5)+lg2*lg2

    =2(lg5+lg2)+(lg5)^2+2lg2*lg5+(lg2)^2

    =2lg10+(lg5+lg2)^2

    =2+1^2

    =3

    2,设f(x)=ax+b

    3f(x+1)-2f(x-1)

    =3a(x+1)+3b-[2a(x-1)+2b]

    =3ax+3a+3b-2ax+2a-2b

    =ax+5a+b

    =2x+17

    所以,a=2

    5a+b=17,b=7

    f(x)=2x+7

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