1. ## Log Problems.

I cant figure out these problems if you could help
me on any problem thatd be great:
1) e^.5x^2-4 = 0
2)log6x+log6x+9=2
3)e^(3x^2) -2=0
4)1.05^x-1/.07 = 1000
5)log3(x^2-9) -log3(x+3) =1
6)log5(x-2)=3
7)log5(x^2+5x+6)-log5(x+3)+log5(x-1) =log5(4)

2. Originally Posted by mathstudent88
3)e^(3x^2) -2=0

I think I know this one

$\displaystyle e^{3x^2} -2=0$

$\displaystyle e^{3x^2} =2$

$\displaystyle 3x^2 =\ln 2$

$\displaystyle x^2 =\frac{\ln (2)}{3}$

$\displaystyle x =\sqrt{\frac{\ln (2)}{3}}$

What is your guess? How do you know if my answer is correct?