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

I am doing equivalent logarithms and would like to know how to simplify the following
log(x^2)-log(x)

### 3 Answers by Expert Tutors

Amarjeet K. | Professional Engineer for Math and Science TuroringProfessional Engineer for Math and Scien...
4.6 4.6 (8 lesson ratings) (8)
1

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

Nataliya D. | Patient and effective tutor for your most difficult subject.Patient and effective tutor for your mos...
0
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
William S. | Experienced scientist, mathematician and instructor - WilliamExperienced scientist, mathematician and...
4.4 4.4 (10 lesson ratings) (10)
0
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)