Question

Attached is the problem, and possible answers, please solve and check

Answer 1

Option B

Explanation:

Using the law of logarithms

`n log x= log x^(n)`

Therefore, since all the logs are to the same base, I will assume the base.

Also, when the bases are the same

log y+ log x= log (x+y)

`\frac {1}{2}(log 4+ log 16)=log 4^(0.5)+log 16^(0.5)=log 2+log 4=log 6`

Now log 6-log 2= log (6-2)= log 4

Therefore, option B is correct