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Math Help - Not sure if this is fully simplified

  1. #1
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    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.
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  2. #2
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    Re: Not sure if this is fully simplified

    Quote Originally Posted by Latsabb View Post
    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 3\log(3x). But that is just a matter of style.
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  3. #3
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    Re: Not sure if this is fully simplified

    I agree with Plato although both answers are correct.
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  4. #4
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    Re: Not sure if this is fully simplified

    Quote Originally Posted by Plato View Post
    I would prefer 3\log(3x). But that is just a matter of style.
    And it is your teacher's "style" that counts!
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  5. #5
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    Re: Not sure if this is fully simplified

    I am self teaching, so I have no teacher, unfortunately.
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  6. #6
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    Re: Not sure if this is fully simplified

    Then you are the teacher, you choose
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