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Mathematics

If log 2 = 0.3010 and log 3 = 0.4771; find the value of log 25.

Logarithms

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Answer

Simplifying the expression,

⇒ log 25

⇒ log 52

⇒ 2 log 5

⇒ 2 log 102\dfrac{10}{2}

⇒ 2(log 10 - log 2)

⇒ 2(1 - 0.3010)

⇒ 2 × 0.699

⇒ 1.398

Hence, log 25 = 1.398

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