Final answer:
To solve the equation P = 8e^(0.023x), we need to take the natural logarithm of both sides to solve for x, resulting in x = ln(P/8)/0.023. However, the options provided suggest P is 8, which cannot be correct as P represents a variable population. Without further clarification, none of the provided answers are correct.
Step-by-step explanation:
The question asks us to solve for x in the equation P = 8e^(0.023x), where P is the population of Georgia x years after 2000. To solve for x, we would typically isolate x by taking the natural logarithm of both sides of the equation. This process would yield x = ln(P/8)/0.023. However, the provided options seem to suggest that P is equal to 8, which doesn't quite align with the question as written because it is given that P is the population of Georgia, which cannot be a constant value like the number 8. Therefore, none of the options a-d are correct under the assumption that P is a variable representing population. It's important to clarify the value of P before selecting an answer. If P were indeed equal to 8, the correct way to solve for x would be x = ln(8)/0.023. Usually in exponential growth, the base e (Euler's number) is used, which relates to natural logarithms.