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Question:

Find the value of m if \(2^{m - 3}\) = 1

Find the value of m if \(2^{m - 3}\) = 1

Posted by: yasin a. on 27.05.2022

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Answer:
This question is based on power and indices
Answer:

2^(m-3) = 1 = 2^0      => m - 3 = 0     => m = 3    (Ans.)

 

Answer:

There is an Exponential formula : a^m/a^n = a^(m-n)

considering our question, it can be written as: 2^m/2^3 = 1

the equation can be written as 2^m = 2^3

now it is easy to find the value of m, because the exponent value on the RHS is equal to the LHS.

So the answer is m=3.

Answer:
2^m-3 = 1 Here, we can also write 1=2^0 Now, 2^m-3 = 2^0 2 from both sides canceled each other So, m-3 = 0 m = 0+3 m= 3 Ans.
Answer:
The answer is 3

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