Question on: JAMB Mathematics - 2020
If log\(_{10}\)2 = 0.3010 and log\(_{10}\)3 = 0.4771, evaluate log\(_{10}\)4.5 without using the logarithm tables.
A
0.3010
B
0.4771
C
0.6532
D
0.9542
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Correct Option: C
Given that:
log\(_{10}\)2 = 0.3010
log\(_{10}\)3 = 04771
Then,
log\(_{10} 4.5 = log_{10}\) (\(\frac{3 \times 3}{2}\))
log\(_{10}\) 3 + log\(_{10}\) 3 - log\(_{10}\)2 = 0.4471 + 0.771 - 0.3010
= 0.6532 Ans.
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