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Question

22882n=512 . What Is the Value of n ?


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Solution

Finding the value of n:

Given:

22882n=512

512 can be written as 29

Thus, the given equation becomes:

22882n=29

we have a formula , aman=am-nso

2288-n=29

As the base values are equal, we can equate the powers.

288-n=9

n=288-9

n=279

Therefore, the value of n is 279.

Hence, the answer for given question is 279.


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