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Mathematics

If log 27 = 1.4313, find the value of :

(i) log 9

(ii) log 30

Logarithms

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Answer

Given,

⇒ log 27 = 1.4313

⇒ log 33 = 1.4313

⇒ 3log 3 = 1.4313

⇒ log 3 = 1.43133\dfrac{1.4313}{3}

⇒ log 3 = 0.4771

(i) Given,

⇒ log 9

⇒ log 32

⇒ 2log 3

⇒ 2 × (0.4771)

⇒ 0.9542

Hence, log 9 = 0.9542.

(ii) Given,

⇒ log 30

⇒ log (3 × 10)

⇒ log 3 + log 10

⇒ log 3 + 1

⇒ 0.4771 + 1

⇒ 1.4771.

Hence, log 30 = 1.4771.

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