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Mathematics

Evaluate :

log 5 + log 8 - 2 log 2

Logarithms

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Answer

Evaluating the expression,

⇒ log 5 + log 8 - 2 log 2

⇒ log 5 + log 8 - log 22

⇒ log 5×822\dfrac{5 \times 8}{2^2}

⇒ log 404\dfrac{40}{4}

⇒ log 10

⇒ 1.

Hence, log 5 + log 8 - 2 log 2 = 1.

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