Final answer:
The x-intercept of the function f(x) = log4x is found by setting f(x) to zero and solving for x, which results in x = 1.
Step-by-step explanation:
The question is asking for the x-intercept of the function f(x) = log4x. The x-intercept of a graph occurs where the function f(x) crosses the x-axis, which is where the function has a value of zero. Thus, to find the x-intercept, we set f(x) = 0 and solve for x:
- 0 = log4x
- 40 = x (By definition of a logarithm, where alogab = b)
- 1 = x (Because any number to the power of zero is one)
So, the x-intercept of the function is x = 1.