Question

Express log2 6 + log2 7 as a single logarithm. PLEASEE HELP!

A. log2 7/6
B. log2 6/7
C. log2 √ 42
D. log2 42

Answer 1

Answer: The correct option is (D)
`\log_242.`

Step-by-step explanation: We are given to write the following logarithmic expression as a single logarithm :

`E=\log_26+\log_27.`

We will be using the following property of logarithm :

`\log_ab+\log_ac=\log_abc.`

For the given expression, we have

`E\\\\=\log_26+\log_27\\\\=\log_2(6*7)\\\\=\log_242.`

Thus, the required single logarithm is
`\log_242.`

Option (D) is CORRECT.