Simplify the expression \(log_{10}18 - log_{10}2.88+log_{10}16\)
A
31.12
B
3.112
C
2
D
1
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(log_{10}18 - log_{10}2.88+log_{10}16\\
=log_{10}18 - log_{10}\left(\frac{288}{100}\right)+log_{10}16 = log_{10}\left(\frac{18\times 16}{1}\times \frac{100}{288}\right)\\
=log_{10}\left(\frac{288\times 100}{288}\right)=log_{10}100=log_{10}10^2=2log_{10}10=2\)
Source: Myschool Past Questions Archive (Record #26673)