Find the value of log\(_{10}\)\(\frac{1}{40}\), given that log10\(_4\) = 0.6021
A
1.3979
B
2.3979
C
-1.6021
D
2.6021
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
log\(_{10}\)\(\frac{1}{40}\) = log\(_{10}\)1 - (log\(_{10}\)4 + log\(_{10}\)10)
= 0 - 1.6021
= -1.6021
Source: WAEC / JAMB / NECO Classroom Archive (Record #32671)