Abstract

— in this paper author try to establish three expression or formulas whose are purely based on logarithmic sum for proving these expressions author use very well known or core concepts of series and sequence and logarithm. Main objective is to calculate sum of logarithmic values for a specific type of sequence and in last author prove expression number first with the help of concept of mathematical induction.

References

[1] R.D Sharma problem number 2page no.21.19 seventh edition 2017 class-XI .
[2] M.L.Khanna and J.N.Sharma problem number 37 page no.1240 150th edition in 2006.
[3]https://www.google.com/search?q=scientific+calculator&rlz=1C1GIWA_enIN826IN826&oq=scientific+c a&aqs=chrome.1.69i57j0l7.12590j0j7&sourceid=chrome&ie=UTF-8.
[4] Dr. Sk Goyal Chapter 4,page no.317 Textbook of Algebra ISBN-978-93-13191-88-9

[5] Chapter -4 Mathematical induction page no-86-96 NCERT Text book class-XI