Testwiki:Reference desk/Archives/Mathematics/2018 April 8

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April 8

Series

If series $f(x)=a_{1}x+a_2{x}^2+a_3{x}^3+...$

$a_n=\ln (n)$

If $a_n/\ln (c)=\ln (n)/\ln (c)$

What is a constant c that makes the value $ln(n)/ln(c)=nr$? where nr is a constant that makes return to whole number n and constant r— Preceding unsigned comment added by 37.98.231.36 (talk) 13:02, 8 April 2018 (UTC)

No, logarithmic functions are not linear functions. Maybe, instead of posting repeated cryptic equations, you should try to explain what you're actually trying to do. (Also, LaTeX knows \ln .) --JBL (talk) 14:49, 8 April 2018 (UTC)

The IP geolocates to Iraq so their English is probably not very good and they don't know how exactly to formulate their question. As precisely stated, there exists no constant c such that for every natural number n and for some constant r, $\ln (n)/\ln (c)=nr$. The original poster is strongly encouraged to adopt the hyperlinked terms in order to better formulate their question.--Jasper Deng (talk) 17:40, 8 April 2018 (UTC)