How I Solved This Exponential Equation in Seconds #maths #algebra #mathshorts

Added: 2026-05-21

[00:00:00]Once you see question like this and you know you can express the bases as the same base, okay? Just go ahead and express it. And once you see X as your power, unknown as your power, know that this is coming from indices or exponents. So, laws of indices and exponents must be applied. So, if we convert 27 to base 3, it's going to be 3 to the power of 3, right? Raised to the power of X + 2.

[00:00:24]Is equal to and 9 is 3 to the power of 2 raised to the power of 2X.

[00:00:30]So, now we have 3 ^ 3 * X. We are going to use this 3 to multiply this. So, 3 * X is 3X + 3 * 2 is 6, okay?

[00:00:42]Is equal to 3 ^ 2 * 2X is 4X. Once you have double power, all right? Just ensure that you will multiply everything together, all right?

[00:00:58]So, once you have double power, multiply the two together to get one power, which is exactly what I did here.

[00:01:05]So, now we can see the bases are the same. And once the bases are the same, you equate the powers. So, it means that 3X + 6 is equal to 4X.

[00:01:15]Now, let us transfer 3X to this side and leave 6 here.

[00:01:21]So, this 3X will now go to this side become -3X because when it crosses it becomes -3X. Now, 6 will be equal to what? X. And that is our answer.