Math Help - please help me solve this

1. please help me solve this

3e^[4x + 2] = 9

2. I think the answer is x= {(ln3)-2}/4

3. Hi friend
given
3e^(4x+2)=9
e^(4x+2)=3
by using the definition of logarithm
we get as
log3 to the base e=4x+2
x=(log3-2)/4