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Given log 2 = 0.69, log3 = 1, 10 and log7 = 1.90, all to...

Mathematics
JAMB 1980
Given log 2 = 0.69, log3 = 1, 10 and log7 = 1.90, all to a fixed base, find log 10.5 to the same base without using tables.
  • A. 1.03
  • B. 2.31
  • C. 3.69
  • D. 10.5
  • E. 25
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Correct Answer: Option B
Explanation
log 10.5 = log \(\frac{21}{2}\)

= log 21 - log 2

= log(3 x 7) - log 2

= log 3 + log 7 - log 2

= 1.10 + 1.90 - 0.69

= 3 - 0.69

= 2.31
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