log4 8-log8 4=?

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log48-log84=?log48-log84=?log48-log84=?log48=log2^22^3=log22^(3/2)=3/2所以:log84=2/3;所以:log48-log84=3/

log4 8-log8 4=?
log4 8-log8 4=?

log4 8-log8 4=?
log4 8
=log2^2 2^3
=log2 2^(3/2)
=3/2
所以:
log8 4=2/3;
所以:
log4 8-log8 4
=3/2-2/3
=5/6.

=log(2^2) (2^3)-log(2^3) (2^2)=3/2-2/3=9/6-4/6=5/6

log4 8-log8 4
=lg8/lg4-lg4/lg8
=lg(2^3)/lg(2^2)-lglg(2^2)/lg(2^3)
=3/2-2/3=5/6

3/2-2/3=5/6