Solution
Given
[tex]f(x)=\log_8(x)\text{ and }g(x)=\log_5(x)[/tex]
To have a better understanding of how the function behaves, let graph the function.
f(x) = g(x) when x = 1
So we consider the interval (0, 1) and (1, ∞)
From the graph, f(x) > g(x) in the interval (0, 1) while f(x) < g(x) in the interval (1, ∞)
Therefore, the values of x for which f(x) > g(x) is 0 < x < 1
The correct option is A.
