This video solves 9^x + 12^x = 16^x and (8^x - 2^x)/(6^x - 3^x) = 2 for real values of x. 0:00 problems 0:58 solution 1 4:24 solution 2 Similar to problem 1 on Socratic Problem 2 @MathBooster video integer solutions Problem 2 Math StackExchange Problem 2 strictly convex Subscribe: Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas! If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay. Book ratings are from January 2023. My Books (worldwide links) #worldwide My Books (US links) Mind Your Decisions: Five Book Compilation A collection of 5 books: "The Joy of Game Theory" rated 4.3/5 stars on 290 reviews "The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviews "40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviews "The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviews "Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviews Mind Your Puzzles: Collection Of Volumes 1 To 3 A collection of 3 books: "Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviews "Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviews "Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviews 2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter. My Blog Twitter Instagram Merch Patreon Press