Which is the equation of 2x - 1 - 7 = 9 after it is reduced so that both sides of the equation are exponential functions with the same base?

Add 7 to both sides of 2^(x−1) − 7 = 9 to get 2^(x−1) = 16. Since 16 = 2^4, the equation with both sides written as exponential functions with the same base is 2^(x−1) = 2^4, choice D.

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