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log⁡(6)−log⁡(2)\log(6)-\log(2)

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Full solution

Q. log⁡(6)−log⁡(2)\log(6)-\log(2)
  1. Combine logarithms: Use the quotient property of logarithms to combine log⁡(6)\log(6) and log⁡(2)\log(2) into a single logarithm.log⁡(6)−log⁡(2)=log⁡(62)\log(6) - \log(2) = \log\left(\frac{6}{2}\right)
  2. Simplify fraction: Simplify the fraction inside the logarithm. log⁡(62)=log⁡(3)\log(\frac{6}{2}) = \log(3)
  3. Check for further simplification: Check if log⁡(3)\log(3) can be simplified further.\newlineSince 33 is a prime number, it cannot be broken down into simpler factors that would allow further expansion of the logarithm.

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