simplify log(x^2)-log(x)

Question

I am doing equivalent logarithms and would like to know how to simplify the following

log(x^2)-log(x)

Answer 1

log(x^2) - log(x) = log (x^2/x) = log x

Answer 2

I don't see any reason to vote down. Based on the properties of the logarithmic function, there are few ways to solve this problem (or notations to write the solution). 

log x² - log x = 2log x - log x = log x    

Answer 3

For the moment, think of log(x^2) as being log(x*x)

 

We know from the rules of logarithms that

 

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

 

In this case, log(x^2)-log(x) = log(x) + log(x) - log(x) = log(x)