Respuesta :

Answer:

n = 9

Step-by-step explanation:

Note that

256 = [tex]2^{8}[/tex], thus

[tex]2^{n-1}[/tex] = [tex]2^{8}[/tex]

Since the bases on both sides are equal (2) equate the exponents

n - 1 = 8 ( add 1 to both sides )

n = 9

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