8^x = 32 Many didn't know how to begin so literally 90% failed!  #percentages #math #fastandeasymaths #logicalstation #mathspuzzles - video Dailymotion

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00:00Welcome everyone. Today we are going to understand how to solve this kind of an exponential problem.

00:06We have 8 raised to x is equal to 32.

00:10Now if you see this gets a bit tricky.

00:12We all know that 8 multiplied by 4 gets you 32.

00:17But this in no way means 8 raised to 4.

00:22What is 8 raised to 4? That is nothing but what?

00:258 gets multiplied to itself 4 times.

00:30So that is why the answer for this question cannot be 4.

00:34Now at this point what we can do is see.

00:37If I switch the basis to be same.

00:43Then automatically I can say the indices are same.

00:53So here I can write 8 as nothing but what?

00:562 raised to 3 the whole raised to x.

00:59And 32 can be written as 2 raised to 5.

01:03Now a raised to m the whole raised to n is written as what?

01:08A raised to m multiplied by n.

01:10So this can be written as 2 raised to 3x is equal to 2 raised to 5.

01:15Now since the bases are same I can directly equate the indices that means 3x raise equals to 5.

01:25Okay.

01:25So now in order to find the value of x we will divide both sides by 3.

01:30So value of x is equals to 5 by 3 for this particular question.

01:37I hope that is very very clear to every one.

01:41That's it for today.

01:42I will see you in the next video.

8^x = 32 Many didn't know how to begin so literally 90% failed! #percentages #math #fastandeasymaths #logicalstation #mathspuzzles

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