APFIVE Intersection of Logarithmic Functions
Consider the functions $$f$$ and $$g$$ given by $$f(x) = \log_3(x+1)$$ and $$g(x) = \log_3(9x-8)$$. In the $$xy$$-plane, what is the $$x$$-coordinate of the point of intersection of the graphs of $$f$$ and $$g$$?
A
$$1$$
B
$$\frac{9}{8}$$
C
$$\frac{17}{8}$$
D
$$\frac{8}{9}$$
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