How To Solve Exponential Equations Step-by-Step #maths #exam #education #mathproblems #puremaths

Added: 2026-05-19

[00:00:00]We have to consider this simple exponential equation here on the board.

[00:00:06]We have you given that 7 to the power of m plus 7 to the power of m equals 98.

[00:00:13]Here, we have to find the value of m.

[00:00:17]Then, I put down here solution.

[00:00:21]I bring down the question down here. We have 7 to the power of m plus 7 to the power of m equals 98.

[00:00:33]Here, 7 to the power of m plus 7 to the power of m is of the form a plus a, which give you 2 multiplied by a.

[00:00:46]Now, we're going to apply the same principle right here.

[00:00:51]And this is 7 to the power of m plus 7 to the power of m.

[00:00:55]It simplifies from this. It give you 2 multiplied by 7 to the power of m equals 98.

[00:01:04]Now, the next step you need to be considered is to divide both side of the equation through by 2.

[00:01:10]Now, I divide here by 2, divide here by 2 as well. Then, 2 here will eliminate this 2. And we have here that 7 to the power of m equals 98 divided by 2. This will give you 49.

[00:01:27]Now, we need to express both side of this equation to be in the same base.

[00:01:32]Here is common base of 7. Then as such, we need to express 49 in base 7 as well.

[00:01:38]Then, if you do that, you're going to have here that 7 to the power of m equals 7 to the power of 2. This will give you 49 exactly.

[00:01:50]Now, since the bases are the same, we are going to equate the powers. Then as such, we have here that m equals 2. And this is the value of m that will satisfy this given exponential equation. Don't forget to subscribe to my YouTube channel, share, and like this video for others to learn. See you in the next video.