If log 10 2 = a and log 10 3 = b; express log 12 in terms of 'a' and 'b'.

Given, log 10 2 = a and log 10 3 = b Simplifying the expression : ⇒ log 12 ⇒ log (2 2 × 3) ⇒ log 2 2 + log 3 ⇒ 2 log 2 + log 3 ⇒ 2a + b. Hence, log 12 = 2a + b.

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Mathematics

If log₁₀ 2 = a and log₁₀ 3 = b; express log 12 in terms of 'a' and 'b'.

Logarithms

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Answer

Given,

log₁₀2 = a and log₁₀3 = b

Simplifying the expression :

⇒ log 12

⇒ log (2² × 3)

⇒ log 2² + log 3

⇒ 2 log 2 + log 3

⇒ 2a + b.

Hence, log 12 = 2a + b.

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Mathematics

If log₁₀ 2 = a and log₁₀ 3 = b; express log 12 in terms of 'a' and 'b'.

Logarithms

Answer

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