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Find the solution set of equation 5(1+lo...

Find the solution set of equation `5(1+log_(5)cosx) = 5//2`

Text Solution

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Taking log to base 5 on both sides in given equations:
`(1+log_(5)cosx). Log_(5)5 = log_(5)(5//2) rArr log_(5)5 + log_(5)cosx=log_(5)5 - log_(5)2`
`rArr log_(5)cos-log_(5)2 rArr cosx=1//2 rArr x=2npi+-pi/3, n in I` Ans.
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