Simplify log\(_{10}\) a\(\frac{1}{3}\) + \(\frac{1}{4}\)log\(_{10}\) a - \(\frac{1}{12}\)log\(_{10}\)a7
A
1
B
\(\frac{7}{6}\)log10 a
C
zero
D
10
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
log10 a\(\frac{1}{3}\) + \(\frac{1}{4}\)log10 a - \(\frac{1}{12}\)log10a7 = log10 a\(\frac{1}{3}\) + log10\(\frac{1}{4}\) - log10 a\(\frac{7}{12}\)
= log\(_{10}\) a\(\frac{7}{12}\) - log\(_{10}\) a\(\frac{7}{12}\)
= log\(_{10}\) 1 = 0
Source: Myschool Past Questions Archive (Record #32460)