Question:

Find the value of m if $2^{m - 3}$ = 1

Posted by: yasin a. on 27.05.2022

This question is based on power and indices

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

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.

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.

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