(1) Use the base-changing formula to change all the formulas into logarithms with the base of 10:

Original formula =lg27/lg4 × lg8/lg25 × lg5/lg9.

=lg3？ /lg2？ × lg2？ /lg5？ × lg5/lg3？

=(3lg 3)/(2lg 2)×(3lg 2)/(2lg 5)×(lg5/2lg 3)

=9/8

(2) press log (a m) (b n) = (n/m) loga b/m) loga b.

Then the original formula =(log2? 3 + log2？ 3)(log3 2 + log3？ 2)

=[( 1/2)log23+( 1/3)log23][log32+( 1/2)log32]

=[(5/6)log2 3][(3/2)log3 2]

=5/4