求[lg^2(5)-lg^2(2)/lg25-lg4]*log(1/2)1/4+8^[log(4)(3/5)^2]的值

求[lg^2(5)-lg^2(2)/lg25-lg4]*log(1/2)1/4+8^[log(4)(3/5)^2]的值


[lg^2(5)-lg^2(2)/lg25-lg4]*log(1/2)1/4+8^[log(4)(3/5)^2]
=[(lg(5)+lg(2))(lg(5)-lg(2))/2(lg5-lg2)]*log(1/2)(1/2)^2+2^3[log(4)(3/5)^2]
=[(lg(5)+lg(2))/2]*2+2^2[log(4)(3/5)^3]
=(1/2)*2+4^[log(4)(3/5)^3]
=1+(3/5)^3
=1+27/125
=152/125



log以3為底[log以4為底(log以5為底a的對數)]=log以4為底[log以3為底(log以5為底b的對數)]=0,則a/b是?
計算


log以3為底[log以4為底(log以5為底a的對數)]=log以4為底[log以3為底(log以5為底b的對數)]=0
log以4為底(log以5為底a的對數)=1
log以3為底(log以5為底b的對數)=1
log以5為底a的對數=4
log以5為底b的對數=3
a=5^4
b=5^3
a/b=5



函數.已知log以5為底35的對數=M,求log以7為底1.4的對數
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(M-1)分之(M-2)
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