Question 4 Express as a single logarithm logx5 a O logx 2 lo

Question 4 Express as a single logarithm: (log(x-5)) a) O (log(x)) 2 log(x-5) b) 5 log(x) d) log (x -5) log None of the above. 2 log(x 50-5 log().

Solution

2log(x - 5) - 5log(x)

First the numbers upfront can be pulled back as exponents as below :

log(x-5)^2 - log(x)^5

Now, using logA - logB = log(A/B), we get :

log[(x - 5)^2 / x^5]

And this is how we combine them

Option E