00:00Welcome everyone. So today we are going to understand how to find the value of x in this kind of a question which says 5 raised to x plus 5 raised to x equals to 50.
00:10Now if we want to find the value of x, first let's do something which is very very basic.
00:16We have 5 raised to x plus 5 raised to x means that means we have added 2 times 5 raised to x.
00:22Now in order to find the value of x, let's shift the 2 on both sides.
00:28So this and this will get cancelled. I am left with 5 raised to x equals to, this is 2 1s are and 25s are.
00:36So this becomes 25. Now this 25 can also be written as 5 square. On your LHS you still have 5 raised to x.
00:45Okay. So now since the bases are the same, I can directly say the value of x for this particular question is supposed to be 2.
00:54Now let's put it in the original question. So 5 raised to 2 plus 5 raised to 2.
01:02If you want to see, let's see what's the answer. 5 raised to 2 is 25 plus 25.
01:08So answer for this one comes out to be 50. Which was your RHS?
01:13Therefore, I can say the value of x is equals to 2 is absolutely correct for this particular question.
01:20That's it for today. I will see you in the next video.
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