Evaluate (frac{log_5 (0.04)}{log_3 18 – log_3 2})

Evaluate (frac{log_5 (0.04)}{log_3 18 – log_3 2})

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 log₃ 9 = z
3² = 3²
z = 3