Question

Which of these expressions is equivalent to log (3 8)? A. log (3) – log (8) B. log (3) + log (8) C. log (3) log (8) D. 3 log (8)

Answer 1

b

Step-by-step explanation:just took the quiz

Answer 2

Answer: The correct option is (A)
`\log(3)-\log(8).`

Step-by-step explanation: We are to select the correct expression that is equivalent to the following logarithmic expression:

`E=\log\left((3)/(8)\right).`

We have the following property of logarithm:

`\log\left((a)/(b)\right)=\log a-\log b.`

Therefore, we have

`E\\\\\\=\log\left((3)/(8)\right)\\\\\\=\log (3)-\log (8).`

Thus, the given expression is equivalent to
`\log(3)-\log(8).`

Option (A) is correct.