Mathematics

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

If Log102 = 0.3010 and Log103 = 0.4771, evaluate Log104.5
  • A.
    0.9542
  • B.
    0.6532
  • C.
    0.4771
  • D.
    0.3010
Correct Answer: Option 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