# Thread: what's the difference between 2ln3 and 2ln(3)

1. ## 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?

2. ## 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.