Set 2: Exponential Functions (Intermediate)

Choice A is correct. Choice A is the correct answer. Use the definition of natural logarithm. 1. Given: $\ln(x-2) = 3$. 2. Convert: $x - 2 = e^3$. 3. Solve: $x = e^3 + 2 \approx 20.09 + 2 = 22.09$. Strategic Tip: $\ln(a) = b$ means $a = e^b$. Choice B is incorrect because $\ln(3) \neq 3$. Choice C is incorrect because we add 2, not subtract. Choice D is incorrect because $\ln(1) = 0 \neq 3$.