the famous equation b^x=log_b(x)

Описание: Get 30% off your first month of any KiwiCo subscription at https://kiwico.com/blackpenredpen or use the code BLACKPENREDPEN.

We will find b so that the exponential function y=b^x is tangent to the logarithmic function y=log_b(x). The key to this problem is to know how to solve equations in the form of f(x)=f^-1(x), namely the original function is equal to its inverse.

Related videos
move e^x horizontally so it touches ln(x): 👉    • e^x meets ln(x)  
solving e^x=ln(x) complex solutions: 👉    • Is e^x=ln(x) solvable?  
Check out ‪@MuPrimeMath‬'s video on solving f(x)=f^-1(x)    • When does f(x)=f⁻¹(x) mean f(x)=x? - Cube ...  

🛍 Shop blue premium dx t-shirt: https://blackpenredpen.creator-spring... 10% off with the code "WELCOME10"
----------------------------------------
**Thanks to ALL my lovely patrons for supporting my channel and believing in what I do**
AP-IP Ben Delo Marcelo Silva Ehud Ezra 3blue1brown Joseph DeStefano
Mark Mann Philippe Zivan Sussholz AlkanKondo89 Adam Quentin Colley
Gary Tugan Stephen Stofka Alex Dodge Gary Huntress Alison Hansel
Delton Ding Klemens Christopher Ursich buda Vincent Poirier Toma Kolev
Tibees Bob Maxell A.B.C Cristian Navarro Jan Bormans Galios Theorist
Robert Sundling Stuart Wurtman Nick S William O'Corrigan Ron Jensen
Patapom Daniel Kahn Lea Denise James Steven Ridgway Jason Bucata
Mirko Schultz xeioex Jean-Manuel Izaret Jason Clement robert huff
Julian Moik Hiu Fung Lam Ronald Bryant Jan Řehák Robert Toltowicz
Angel Marchev, Jr. Antonio Luiz Brandao SquadriWilliam Laderer Natasha Caron Yevonnael Andrew Angel Marchev Sam Padilla ScienceBro Ryan Bingham
Papa Fassi Hoang Nguyen Arun Iyengar Michael Miller Sandun Panthangi
Skorj Olafsen Riley Faison Rolf Waefler Andrew Jack Ingham P Dwag Jason Kevin Davis Franco Tejero Klasseh Khornate Richard Payne Witek Mozga Brandon Smith Jan Lukas Kiermeyer Ralph Sato Kischel Nair Carsten Milkau Keith Kevelson Christoph Hipp Witness Forest Roberts Abd-alijaleel Laraki Anthony Bruent-Bessette Samuel Gronwold Tyler Bennett christopher careta Troy R Katy Lap C Niltiac, Stealer of Souls Jon Daivd R meh Tom Noa Overloop Jude Khine R3factor. Jasmine
----------------------------------------
💪 If you would also like to support this channel and have your name in the video description, then you could become my patron here   / blackpenredpen  

0:00 check out KiwiCo
1:00 want b so that b^x is tangent to log_b(x)
4:36 the condition we need
#calculus #hardmathproblem