若log3(2次幂)=t ,则log3(8次幂)-log3(108次幂)=多少
问题描述:
若log3(2次幂)=t ,则log3(8次幂)-log3(108次幂)=多少
答
log3(8次幂)-log3(108次幂)
=log3(2^3)-log3(3^3*2^2)
=3log3(2)-[3log3(3)+2log3(2)]
=3t-3-2t
=t-3