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User:ShohagS

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Abdullah AL Shohag

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"An equation for me has no meaning, unless it expresses a thought of God" - S. Ramanujan

Defining negative value of logarithms

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If we consider , then but will be negative only when where (for simplicity we will take , so )

     

/* */

if we put the value of in the marked line,

so if we generalize it for any base, we get,

, where