Evaluate (log_{10}(frac{1}{3} + frac{1}{4}) + 2log_{10} 2 + log_{10} (frac{3}{7}))
-
A.
-3 -
B.
0 -
C.
(frac{5}{6}) -
D.
1
Correct Answer: Option B
Explanation
(log_{10} (frac{1}{3} + frac{1}{4}) + 2log_{10} 2 + log_{10} (frac{3}{7}))
(frac{1}{3} + frac{1}{4} = frac{7}{12})
= (log_{10} (frac{7}{12} times 2^{2} times frac{3}{7}))
= (log_{10} 1 = 0)