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

A.
1 
B.
1 
C.
(frac{2}{3}) 
D.
(frac{2}{3})
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 log_{5} 0.04 = x
5x = 0.04
x = (frac{4}{100}) = 5^{2}
Let log_{3} 9 = z
3^{2} = 3^{2}
z = 3