How to find the general sum formula of this logarithmic series log5+log5+log605+log6655+…

Bairaxx

Bairaxx

Answered question

2022-10-16

How to find the general sum formula of this logarithmic series log 5 + log 5 + log 605 + log 6655 +

Answer & Explanation

bargeolonakc

bargeolonakc

Beginner2022-10-17Added 16 answers

Assuming you meant the sum:
log 5 + log 55 + log 605 + = n = 0 N log ( 5 11 n )
Then this is equals to:
log ( 5 N + 1 11 0 + 1 + 2 + + N ) = log ( 5 N + 1 11 N 2 + N )
Or after simplifying:
( 1 + N ) ( log 5 + N 2 log 11 )

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