JAMB - Mathematics (1994 - No. 5)
Evaluate \(\frac{log_5 (0.04)}{log_3 18 - log_3 2}\)
1
-1
\(\frac{2}{3}\)
-\(\frac{2}{3}\)
Explicació
\(\frac{log_5 0.04}{log_3 18 - log_3 2}\)
= \(\frac{log_5 0.04}{log_3(\frac{18}{2})}\)
= \(\frac{log_5 0.04}{log_3 9}\)
= \(\frac{-2}{2}\)
= -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