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Given that loga2 0 693 and loga3 1 097 find log... - JAMB Mathematics 1997 Question

Given that loga2 = 0.693 and loga3 = 1.097, find loga 13.5

A
1.404
B
1.790
C
2.598
D
2.790
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Correct Option: C

loga 13.5 = loga (\frac{27}{2})

= 3loga 3 - log2a

= 3 x 1.097 - 0.693

= 2.598

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