Final answer:
To solve the logarithmic equation log x 36 = 2, we convert it to exponential form as x^2 = 36. Since logarithmic values require positive bases, the solution is x = 6, making option c (x = 6) the correct answer.
Step-by-step explanation:
The student has been asked to solve the logarithmic equation log x 36 = 2. In logarithmic form, this equation means that x raised to the power of the right side of the equation (which is 2) is equal to the number on the left side of the equation, which is 36. We are seeking the value of x that satisfies this equation.
To solve for x, we can rewrite the equation in exponential form: x^2 = 36. By taking the square root of both sides, we find that x could be either positive or negative 6, but since we are considering real logarithms, x must be a positive number. Therefore, the solution is x = 6. In conclusion, the value that satisfies the equation log x 36 = 2 is x = 6, which corresponds to option c in the provided choices. It is important to mention the correct option in the final part of an answer to ensure clarity, so here the correct answer is c. x = 6.