# Thread: Not sure if this is fully simplified

1. ## Not sure if this is fully simplified

Ok, the original problem is as follows:

lg(3x)+lg(9x^2)

I am to simplify it. I switch it to:

lg((3x)(9x^2))

And then multiply it out to:

lg(27x^3)

Is this fully simplified? I thought it was, but my friend is saying it should be 3lg3 + 3lgx

Is this correct? Should I have cubed that 27, to 3^3, then split it back into addition form rather than multiplicative form? Seems quite round about.

2. ## Re: Not sure if this is fully simplified

Originally Posted by Latsabb
lg(3x)+lg(9x^2)
I am to simplify it. I switch it to:
lg((3x)(9x^2))
And then multiply it out to:
lg(27x^3) Is this fully simplified?
I would prefer $\displaystyle 3\log(3x)$. But that is just a matter of style.

3. ## Re: Not sure if this is fully simplified

I agree with Plato although both answers are correct.

4. ## Re: Not sure if this is fully simplified

Originally Posted by Plato
I would prefer $\displaystyle 3\log(3x)$. But that is just a matter of style.
And it is your teacher's "style" that counts!

5. ## Re: Not sure if this is fully simplified

I am self teaching, so I have no teacher, unfortunately.

6. ## Re: Not sure if this is fully simplified

Then you are the teacher, you choose