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Explanation:
By Factor Theorem,
(2)^m - 3(2)^(m-1) + 4(2) - 4 = 0.
=> 2^m - 1.5 * 2^m + 4 = 0
=> 4 - 0.5 * 2^m = 0
=> 0.5 * 2^m = 4
=> 2^m = 8
=> m = 3.
Hence the value of m is 3.