Intersection of Logarithmic Functions

Mark

The functions $f$ and $g$ are defined by $f(x) = \log_3(x+1)$ and $g(x) = \log_3(9x-8)$ . What is the $x$ -coordinate of the point of intersection of the graphs of $f$ and $g$ ?

$1$

$\frac{8}{9}$

$\frac{17}{8}$

$\frac{9}{8}$

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