If Log102 = 0.3010 and Log103 = 0.4771, evaluate Log104.5

Mathematics JAMB 2005

If Log102 = 0.3010 and Log103 = 0.4771, evaluate Log104.5

  • 0.9542
  • 0.6532 checkmark
  • 0.4771
  • 0.3010

The correct answer is: B

Explanation

Log102 = 0.3010 and Log103 = 0.4771
Log104.5 = Log1041/2
= Log109/2
= Log109 - Log102
= log1032 - Log102
= 2Log103 - Log102
= 2(0.4771) - 0.3010
= 0.9542 - 0.3010
= 0.6532
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