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Mathematics

If log10 2 = a and log10 3 = b; express log 60 in terms of 'a' and 'b'.

Logarithms

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Answer

Given,

log10 2 = a and log10 3 = b

Simplifying the expression :

⇒ log 60

⇒ log (2 × 3 × 10)

⇒ log 2 + log 3 + log 10

⇒ a + b + 1.

Hence, log 60 = a + b + 1.

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