If log\(_{10}\) 2 = m and log\(_{10}\) 3 = n, find log\(_{10}\) 24 in terms of m and n.
A
3m + n
B
m + 3n
C
4mn
D
3mn
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
log\(_{10}\) 24 = log\(_{10}\) 8 \(\times\) log\(_{10}\) 3
where log\(_{10}\) 8 = 3 log\(_{10}\) 2 = 3 \(\times\) m
and log\(_{10}\) 3 = n
: log\(_{10}\) 24 = 3m + n
Source: WAEC / JAMB / NECO Classroom Archive (Record #61140)