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

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Mathematics JAMB 1997

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

  • 1.404
  • 1.790
  • 2.598 checkmark
  • 2.790

The correct answer is: C

Explanation

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

= 3loga 3 - log2a

= 3 x 1.097 - 0.693

= 2.598
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