A great exponential equation - Olympiad Mathematics

A great challenge 3^m - 2^m = 65. Math Olympiad Question👍
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#maths #math #mathematics #algebra

[@69alsa]

😮

[@memmedbaku4606]

how about the rest of the solution? are there any other solutions? You need to prove that there are no other solutions for full answer.

[@jerrypaquette5470]

This is a waste of time doing it that way. Think powers of numbers. Powers of 2: 1,2, 4, 8, 16, Powers of 3: 1, 3, 9, 27, 81 2^4 = 16, 3^ 4 = 81, 81 - 16 = 65 therefore m =4

[@Murali2Ravi-ik3qf]

I solved 23 seconds

[@goriolaganiu403]

Why making us wasting data's. 3^m--2^m=65=81-16 (try by error) =3^4--2^4 So m=4

[@mathsmood]

This video is about a solution to this math challenge. Thank You.Have a great day!