Express 1 + 2 log10\(^3\) in the form log10\(^9\)
A
log10\(^{90}\)
B
log10\(^{19}\)
C
log10\(^{9}\)
D
log10\(^{6}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
1 + 2log\(_{10}^3\)
= log\(_{10}^{10} + log_{10}^{3^2}\)
= log\(_{10}^{10} + log_{10}^{9}\)
= log\(_{10}^{10 \times 90}\) = log\(_{10}^{90}\)
Source: Myschool Past Questions Archive (Record #58223)