prove it loga^b = logc^b / logc^a plzzzzzzzzzz ans fast

Dear Student,
Please find below the solution to the asked query:

Ibelieve your question islogab=logcblogcaLet x=logab....ib=axTake logc on both sideslogcb=logcaxlogcb=xlogca   Using logmn=n logmx=logcblogca ....iiBy i and ii, we get:logab=logcblogca

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