Simplify the expression (log_{10}18 – log_{10}2.88+log_{10}16)
-
A.
31.12 -
B.
3.112 -
C.
2 -
D.
1
Correct Answer: Option 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{18times 16}{1}times frac{100}{288}right)\
=log_{10}left(frac{288times 100}{288}right)=log_{10}100=log_{10}10^2=2log_{10}10=2)