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Math Help - what's the difference between 2ln3 and 2ln(3)

  1. #1
    Junior Member
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    what's the difference between 2ln3 and 2ln(3)

    I have a problem, solve for x.

    ln(x+2)-2ln(3)=0 ln(x+2)-2ln3=0

    So I guess 2ln(3)=2ln

    But first I did this because I didn't notice the second equation.

    ln(x+2)=2ln(3)

    [e^(2ln(3)]=x+2

    x=[e^2ln(3)]-2

    What do you think?
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: what's the difference between 2ln3 and 2ln(3)

    Your solution to solve \ln(x+2)-2\ln(3)=0 is fine, but you can simplify it this way:
    \ln(x+2)=2\ln(3)
    \Leftrightarrow \ln(x+2)=\ln(9)
    and therefore
    x+2=9 \Leftrightarrow x=7

    Also notice: e^{\ln(x)}=x

    But this statement:
    2\ln(3)=2\ln
    doesn't make sense ... the two given equations are totally equal.
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