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Mathematics, 26.09.2019 18:30 corbinfisher

Sarah is trying to convince her friend brianna that the exponential function f(x) = 2x will eventually grow larger than the polynomial function g(x) = x30. when brianna plugs in 5 for x and sees that f(5) = 25 = 32, while g(5) = 530 = 9.3 x 1020, she is really convinced that f will never be larger than g. which of these is the smallest value of x that sarah can use to prove that f will grow larger than g?

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