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Verified answer
8log 1/5 × 5log 1/27 - 2log 24= l(og 1/5)/log 8 × log (1/27)/log 5 - 2log 24
= (log 5^-1)/(log 2^3) × (log 3^-3)/(log 5) -2log 24
=(-log 5)/(3.log 2)× (-3log 3)/(log 5) -2log 24
=3.log 3 /3.log 2 -2log 24
= 2log 3 -2log 24
= 2log (3/24)
= 2log (1/8)
= 2log 2^-3
= -3