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Evaluate frac log 5 0 04 log 3 18 - log 3 2 - JAMB Mathematics 1994 Question

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 option: b

(\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

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