QuestionSolve the equation. $$\log _{x} 64=2$$
The solution set is $\square$ B. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

Studdy Solution
Solve the exponential equation $x^2 = 64$ for $x$. To do this, take the square root of both sides:
$$x = \pm \sqrt{64}$$
$$x = \pm 8$$
Since the base of a logarithm must be positive and not equal to 1, we discard the negative solution. Therefore, the solution is:
$$x = 8$$
The solution set is:
$$\boxed{8}$$