Evaluate: \(\mathop {\lim }\limits_{x \to 0} \left( {\frac{{{3^{2x}} - 1}}{{{2^{3x}} - 1}}} \right)\)

1
\(\frac{{\ln 3}}{{\ln 8}}\)
2
\(\frac{{\ln 9}}{{\ln 8}}\)
3
\(\frac{{\ln 7}}{{\ln 8}}\)
4
\(\frac{{\ln 5}}{{\ln 8}}\)

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