Value of y slog(base (e^(pi/2))( y) = y - Printable Version +- Tetration Forum (https://math.eretrandre.org/tetrationforum) +-- Forum: Tetration and Related Topics (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1) +--- Forum: Mathematical and General Discussion (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=3) +--- Thread: Value of y slog(base (e^(pi/2))( y) = y (/showthread.php?tid=117) Value of y slog(base (e^(pi/2))( y) = y - Ivars - 02/03/2008 I was strugling to get in grips with infinite pentation of other base than e but failed. So my question to experts: Which y would satisfy the equation in the subject of the thread? My guess is e^(-pi), so that: e^(pi/2) [5] ( - infinity) = e^(-pi). Ivars RE: Value of y slog(base (e^(pi/2))( y) = y - GFR - 02/03/2008 Thank you, Ivars. Let us see. @ Andydude. Could you please check the coordinates of the common intersection, for x < 0, and for b = e^(Pi/2), with your powerful slog and sexp machines, of: - y = b # x = b-tetra-x; - y = [base b]slog x, the inverse of the previous one; - y = x, principal diagonal ? The intersections of the three "tails" for x < 0 should correspond to b-penta(-oo). But, I might be wrong. GFR RE: Value of y slog(base (e^(pi/2))( y) = y - Ivars - 02/22/2008 Is this very difficult or not interesting? I still have not acquired software to be able to do it myself one day. I will proceed analytically, but that might take years Ivars RE: Value of y slog(base (e^(pi/2))( y) = y - bo198214 - 02/26/2008 Ivars Wrote:Is this very difficult or not interesting? The value must be somewhere around -2 (far from your guess of $e^{-\pi}$) considering this picture showing the intersection of $\text{slog}_{e^{\pi/2}} x$ with $x$. [attachment=257] I guess it is not symboblically expressable with $e$, $i$ and $\pi$. But it is not exactly -2, because $\text{slog}_b (x) > -2$ for all real $x$. RE: Value of y slog(base (e^(pi/2))( y) = y - Ivars - 02/26/2008 Thanks! Seems rather symmetrical, this value. Ivars