Wikipedia:Reference desk/Archives/Mathematics/2019 February 21

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February 21

Transformation Constant

Is there a constant that can achieve this $k-1={\frac {\ln(k)}{\ln(c)}}$ when k is a positive integer and k≥1?!! — Preceding unsigned comment added by 192.161.6.20 (talk) 12:22, 21 February 2019 (UTC)

Unless there's something missing from your question, then $k=1$ is a solution for all $c\neq 1$ as the equation simplifies to 0=0. Iffy★Chat -- 12:50, 21 February 2019 (UTC)

@Iffy: I think he instead wants to find a constant c such that the above identity holds for all k. But that is impossible since ${\frac {k-1}{\ln(k)}}$ is not the same for all k.--Jasper Deng (talk) 13:22, 23 February 2019 (UTC)

Also, this would seem to be a near-duplicate of [1]. If the OP also asked that question, they are advised to stop asking the same question repeatedly, and learn some elementary algebra.--Jasper Deng (talk) 19:29, 23 February 2019 (UTC)