I don't see this yielding much to simplification
Once you start dividing logs, you are changing bases.
The above can be written as
log5(3/5) + log81/8(125/8)
I suspect a typo.
Anyway, log5(3/5) = log53 - 1
log 5 (3/5)+3 log 5 (5/2)/log 5 81/8
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