A biologist is comparing the growth of a population of flies per week

A biologist is comparing the growth of a population of flies per week to the number of flies an iguana will consume per week. He has devised an equation to solve for which day (x) the iguana would be able to eat the entire population. The equation is 3^x = 2x + 1. However, he has observed that the iguana cannot eat more than eight flies in one week.

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