If (log_{10} 2 = 0.3010) and (log_{10} 3 = 0.4771), evaluate; without using logarithm tables, (log_{10} 4.5)
-
A.
0.3010 -
B.
0.4771 -
C.
0.6532 -
D.
0.9542
Correct Answer: Option C
Explanation
If (log_{10} 2 = 0.3010) and (log_{10} 3 = 0.4771),
(log_{10} 4.5 = log_{10} (frac{3 times 3}{2}))
(log_{10} 3 + log_{10} 3 – log_{10} 2 = 0.4771 + 0.4771 – 0.3010)
= 0.6532