\( \lim _{\mathrm{x} \rightarrow 0} \frac{3^{2 \mathrm{x}}-2^{3 \mathrm{x}}}{\mathrm{x}} \) is equal to-

A \( \log \left(\frac{3}{4}\right) \)

B \( \log \left(\frac{3}{2}\right) \)

C \( \log \left(\frac{5}{4}\right) \)

D \( \log \left(\frac{9}{8}\right) \)

Solution

Correct Answer: Option D

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