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Mathematics

If log 2 = 0.3010 and log 3 = 0.4771; find the value of log 1.2.

Logarithms

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Answer

Simplifying the expression,

⇒ log 1.2

⇒ log 1210\dfrac{12}{10}

⇒ log 12 - log 10

⇒ log (22 × 3) - log 10

⇒ log 22 + log 3 - log 10

⇒ 2 log 2 + log 3 - 1

⇒ 2 × 0.3010 + 0.4771 - 1

⇒ 0.6020 + 0.4771 - 1

⇒ 1.0791 - 1

⇒ 0.0791

Hence, log 1.2 = 0.0791

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