化简 (log36(4))/(log18(6))+log^2 6(3)
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化简 (log36(4))/(log18(6))+log^2 6(3)
log^2 6(3) 以6为底 3为真数
log^2 6(3) 以6为底 3为真数
(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)/(lg2+lg3)^2+[lg3/(lg2+lg3)]^2
=[(lg2)^2+2lg2lg3+(lg3)^2]/(lg2+lg3)^2
=(lg2+lg3)^2/(lg2+lg3)^2
=1
=(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)/(lg2+lg3)^2+[lg3/(lg2+lg3)]^2
=[(lg2)^2+2lg2lg3+(lg3)^2]/(lg2+lg3)^2
=(lg2+lg3)^2/(lg2+lg3)^2
=1
化简 (log36(4))/(log18(6))+log^2 6(3)
计算(log36(4))/(log18(6))+log^2 6(3)
计算:log36(4)/log18(6)+(log6 (3))*2
log36 (45)=log18(45)/log18(36) =(log18 5+log18 9)/(log18 18
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已知log18(3)=a,18^b=5,试用a,b表示log36(45)=
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log18 9=a log18 5=b 用a,b表示log36 45
log(2)3=a,则log(6)4=(
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