lg2=a lg3=b 求log12√54
问题描述:
lg2=a lg3=b 求log12√54
答
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)]