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The value of log (1 + 2 + 3) is equal to...

The value of `log (1 + 2 + 3)` is equal to

A

`log 2 + log 3 `

B

`log 1 + log 2 + log 3`

C

`log1log2 log3`

D

0

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AI Generated Solution

The correct Answer is:
To find the value of \( \log(1 + 2 + 3) \), we can follow these steps: ### Step 1: Calculate the sum inside the logarithm First, we need to calculate the sum of the numbers inside the logarithm: \[ 1 + 2 + 3 = 6 \] ### Step 2: Rewrite the logarithm Now that we have the sum, we can rewrite the logarithm: \[ \log(1 + 2 + 3) = \log(6) \] ### Step 3: Evaluate the logarithm The value of \( \log(6) \) can be expressed in terms of logarithms of its prime factors: \[ \log(6) = \log(2 \times 3) = \log(2) + \log(3) \] ### Conclusion Thus, the value of \( \log(1 + 2 + 3) \) is: \[ \log(6) = \log(2) + \log(3) \]
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