- #1
Ericalvusa91
- 11
- 0
Homework Statement
ln(3x+1) = 3-lnx
Homework Equations
Solve for x
The Attempt at a Solution
Well I put the ln on the left side
ln(3x+1)+ln(x) = 3
Then I combine them
ln ((3x+1)(x)) = 3
So I take e
e^ln(x(3x+1)) = e^3
I get x(3x+1) = e^3
So I divide the x
(3x+1)/(x) = (e^3)/(x)
Multiply x by both sides
3x+1 = e^3
Subtract the 1
3x = (e^3)-1
Divide by 3
x = ((e^3)-1)/3
Can someone tell me if I made a mistake or did it totally wrong ?