Is there a constant that can achieve this ${\displaystyle k-1={\frac {\ln(k)}{\ln(c)}}}$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)[reply]

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

@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 ${\displaystyle {\frac {k-1}{\ln(k)}}}$is not the same for all k.--Jasper Deng (talk) 13:22, 23 February 2019 (UTC)[reply]

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)[reply]