If x is an integer, is 3^x less than 500?

(1) 4^(x-1) change 4^(x-1) to (4^x)/4

(4^x)/4 multiply both sides by 4

(4^x) subtract both sides by 4(4^x)

(4^x) - 4(4^x) combine terms (subtract 4(4^x) from 4^x)

-3(4^x) multiply both sides by -3 (and flip sign)

4^x > 1,440 --> therefore x must be 6 or greater. Thus, it answers the question "is x < 6" in which we can answer with a definitive NO. However the answer is C. How is this possible?

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