3^x = x^9 Answer is not 3. 99% got it wrong! Ukraine Math Test #math #percentages #ukraine

Added: 2026-05-27

[00:00:00]Welcome everyone. So today we are going to understand how to solve this kind of puzzle. We have 3x = x 9. Now the first job anyone should do in this kind of scenario is to shift all the numbers on the other side by taking the ninth root on both sides. And similarly you shift the variables on the other side which is taking the x root on both sides. Now here you need to realize that whenever you have this kind of a format and if you can write the numbers in this format which is a 1 / a then from here I can deduce that the value of x is nothing but a so first thing what I can do is 3 1 / 9 I have that right? I can multiply this by 2 / 2. Correct? And I Can Even Shift This As What? 3 2 * 1 / 9 * 9 is 18 * 2 is 18. So this is a problem because 3 2 is 9 and this is 18.

[00:01:01]So probably we should not do this. Now instead of multiplying by 2 / 2 and another 2 / 2 we try multiplying by 3 / 3 so then we have 3 * 1 / 9 * 3 is 27 as we all know a m * n can be written as a mn so this can be written as 3 1 27 so 3 2 is 27 1 / 27 which is equal to x 1 / x. So there for I can say the value of x is nothing but just 27.

[00:01:52]I hope this is very very clear to everybody. That's it for today. I'll see you in the next one