Correct Answer: Option B

Explanation

\(\frac{log_5 0.04}{log_3 18 - log_3 2}\)

= \(\frac{log_5 0.04}{log_3(\frac{18}{2})}\)

= \(\frac{log_5 0.04}{log_3 9}\)

= \(\frac{-2}{2}\)

= -1

Let log5 0.04 = x

5x = 0.04

x = \(\frac{4}{100}\) = 5\(^{-2}\)

Let log\(_3\) 9 = z

3\(^2\) = 3\(^z\)

z = 3

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