2 log15/2-log25/81+3 log2/9=log2
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Step-by-step explanation:
LHS=2 log15/2-log25/81+3 log2/9=log2
2log(5*3/2)-log(5*5/9*9)+3 log(2/9)
=2log 5+2log3-2log2-log5-log5-(-log9-log9)+3log2-3log9
=2log5+2log3-2log2-2log5+2log9+3log2-3log9
=log2+2log3-log9
=log2+2log3-log(3*3)
=log2+2log3-2log3
=log2
=RHs
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