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
= \(\frac{log_5 0.04}{log_3(\frac{18}{2})}\)
= \(\frac{log_5 0.04}{log_3 9}\)
= \(\frac{-2}{2}\)
= -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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