JAMB - Mathematics (2005 - No. 7)

If Log102 = 0.3010 and Log103 = 0.4771, evaluate Log104.5
0.9542
0.6532
0.4771
0.3010

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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