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rewrite the following in the form log⁡(c) \log(c) log⁡(3)+log⁡(4) \log(3) + \log(4)

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Full solution

Q. rewrite the following in the form log⁡(c) \log(c) log⁡(3)+log⁡(4) \log(3) + \log(4)
  1. Identify Property: Identify the property of logarithm used to combine log⁡(3)\log(3) and log⁡(4)\log(4). The sum of two logarithms with the same base can be combined using the product property of logarithms.
  2. Apply Property: Apply the product property to combine log⁡(3)\log(3) and log⁡(4)\log(4). According to the product property, the sum of the logs is the log of the product of the arguments. log⁡(3)+log⁡(4)=log⁡(3×4)\log(3) + \log(4) = \log(3 \times 4)
  3. Calculate Product: Calculate the product of 33 and 44.\newline3×4=123 \times 4 = 12
  4. Write Final Expression: Write the final expression using the result from Step 33. log⁡(3)+log⁡(4)=log⁡(12)\log(3) + \log(4) = \log(12)

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