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Verified answer
²log 300^(3/4)= (3/4) . ²log 300
= (3/4) . ²log (2² . 5² . 3)
= (3/4) . ²log 2² + ²log 5² + ²log 3
= (3/4) . ( 2 + 2x + y)
= (3/2)x + (3/4)y + (3/2)