lg2=a lg3=b 求log12√54

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lg2=alg3=b求log12√54lg2=alg3=b求log12√54lg2=alg3=b求log12√54log12√54=lg√54/lg12=[lg54/2]/lg(3*2*2)=lg(3

lg2=a lg3=b 求log12√54
lg2=a lg3=b 求log12√54

lg2=a lg3=b 求log12√54
log12√54
=lg√54 / lg12
=[lg54/2]/lg(3*2*2)
=lg(3*3*3*2)/[2*(lg3+lg2+lg2)]
=[3lg3+lg2]/[2*(b+2a)]
=(3b+a)/[2*(b+2a)]

LOG(12,√54)
=LG(√54)/LG(12)=1/2(lG(5)+2LG(3))/(LG(3)+2LG(2))
=1/2(1-LG(2)+2LG(3))/(LG(3)+2LG(2)
=(1/2)(1-A+2B)/(B+2A)