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

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
Correct Answer: Option C
Explanation

loga 13.5 = loga (frac{27}{2})
= 3loga 3 – log2a
= 3 x 1.097 – 0.693
= 2.598

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