Home » If (log_{10} 2 = 0.3010) and (log_{10} 3 = 0.4771), evaluate; without using logarithm tables,…

If (log_{10} 2 = 0.3010) and (log_{10} 3 = 0.4771), evaluate; without using logarithm tables,…

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