化简 (log36(4))/(log18(6))+log^2 6(3)
问题描述:
化简 (log36(4))/(log18(6))+log^2 6(3)
log^2 6(3) 以6为底 3为真数
答
(log36(4))/(log18(6))+log^2 6(3)=(lg4/lg36)/(lg6/lg18)+lg^2(3)/lg^2(6)=2lg2/(2lg2+2lg3)/[(lg2+lg3)/(lg2+2lg3)]+[lg3/(lg2+lg3)]^2=lg2/(lg2+lg3)/[(lg2+lg3)/(lg2+2lg3)]+[lg3/(lg2+lg3)]^2=lg2×(lg2+2lg3)...