Simplify the expression \(log_{10}18 – log_{10}2.88+log_{10}16\)
- 31.12
- 3.112
-
2
- 1
The correct answer is: C
Explanation
\(log_{10}18 - log_{10}2.88+log_{10}16\\=log_{10}18 - log_{10}\left(\frac{288}{100}\right)+log_{10}16 = log_{10}\left(\frac{18\times 16}{1}\times \frac{100}{288}\right)\\
=log_{10}\left(\frac{288\times 100}{288}\right)=log_{10}100=log_{10}10^2=2log_{10}10=2\)