Find the value of a if log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030
A
4.0
B
2.0
C
1.6
D
0.0
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
log\(_{10}\) a + log\(_{10}\)a\(^2\) = 0.9030
log (a x a\(^2\)) = 0.9030
log a\(^3\) = 0.9030
a\(^3\) = 10^.9030(antilogarithm table)
a\(^3\) = 7.998
a = 3\(\sqrt{7.998}\)
a = 1.9998 ≈ 2.0
Source: Myschool Past Questions Archive (Record #36283)