2005
Mathematics
67ca00ce0c643c71d77dee1f
If Log10 2 = 0.3010 and Log103 = 0.4771, evaluate Log104.5
A.
0.9542
B.
0.6532
C.
0.4771
D.
0.3010
Correct Answer: 0.6532
Explanation
Log10 2 = 0.3010 and Log103 = 0.4771 Log10 4.5= Log10 4(1/2) = Log109/2 = Log109 - Log10 2 = Log1032 -Log10 2 = 2Log103 - Log10 2 = 2(0.4771) - 0.3010 = 0.9542 - 0.3010 = 0.6532
Log10 2 = 0.3010 and Log103 = 0.4771 Log10 4.5= Log10 4(1/2) = Log109/2 = Log109 - Log10 2 = Log1032 -Log10 2 = 2Log103 - Log10 2 = 2(0.4771) - 0.3010 = 0.9542 - 0.3010 = 0.6532THIS WEEK's
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