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Mathematics

If log 2 = 0.3010 and log 3 = 0.4771; find the value of log 15.

Logarithms

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Answer

Simplifying the expression,

⇒ log 15

⇒ log (3 × 5)

⇒ log 3 + log 5

⇒ log 3 + log 102\dfrac{10}{2}

⇒ log 3 + log 10 - log 2

⇒ 0.4771 + 1 - 0.3010

⇒ 1.1761

Hence, log 15 = 1.1761

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