Ln(3x+1)=ln(x^2-9)

Simple and best practice solution for Ln(3x+1)=ln(x^2-9) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for Ln(3x+1)=ln(x^2-9) equation: 


Simplifying
Ln(3x + 1) = ln(x2 + -9)

Reorder the terms:
nL(1 + 3x) = ln(x2 + -9)
(1 * nL + 3x * nL) = ln(x2 + -9)
(1nL + 3nxL) = ln(x2 + -9)

Reorder the terms:
1nL + 3nxL = ln(-9 + x2)
1nL + 3nxL = (-9 * ln + x2 * ln)
1nL + 3nxL = (-9ln + lnx2)

Solving
1nL + 3nxL = -9ln + lnx2

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '9ln' to each side of the equation.
1nL + 9ln + 3nxL = -9ln + 9ln + lnx2

Reorder the terms:
9ln + 1nL + 3nxL = -9ln + 9ln + lnx2

Combine like terms: -9ln + 9ln = 0
9ln + 1nL + 3nxL = 0 + lnx2
9ln + 1nL + 3nxL = lnx2

Add '-1lnx2' to each side of the equation.
9ln + 1nL + -1lnx2 + 3nxL = lnx2 + -1lnx2

Reorder the terms:
9ln + -1lnx2 + 1nL + 3nxL = lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
9ln + -1lnx2 + 1nL + 3nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(9l + -1lx2 + L + 3xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

Move all terms containing n to the left, all other terms to the right.

Simplifying
n = 0

Subproblem 2
Set the factor '(9l + -1lx2 + L + 3xL)' equal to zero and attempt to solve:

Simplifying
9l + -1lx2 + L + 3xL = 0

Reorder the terms:
L + 9l + -1lx2 + 3xL = 0

Solving
L + 9l + -1lx2 + 3xL = 0

Move all terms containing n to the left, all other terms to the right.

Add '-1L' to each side of the equation.
L + 9l + -1lx2 + -1L + 3xL = 0 + -1L

Reorder the terms:
L + -1L + 9l + -1lx2 + 3xL = 0 + -1L

Combine like terms: L + -1L = 0
0 + 9l + -1lx2 + 3xL = 0 + -1L
9l + -1lx2 + 3xL = 0 + -1L
Remove the zero:
9l + -1lx2 + 3xL = -1L

Add '-9l' to each side of the equation.
9l + -1lx2 + -9l + 3xL = -1L + -9l

Reorder the terms:
9l + -9l + -1lx2 + 3xL = -1L + -9l

Combine like terms: 9l + -9l = 0
0 + -1lx2 + 3xL = -1L + -9l
-1lx2 + 3xL = -1L + -9l

Add 'lx2' to each side of the equation.
-1lx2 + lx2 + 3xL = -1L + -9l + lx2

Combine like terms: -1lx2 + lx2 = 0
0 + 3xL = -1L + -9l + lx2
3xL = -1L + -9l + lx2

Add '-3xL' to each side of the equation.
3xL + -3xL = -1L + -9l + lx2 + -3xL

Combine like terms: 3xL + -3xL = 0
0 = -1L + -9l + lx2 + -3xL

Simplifying
0 = -1L + -9l + lx2 + -3xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

See similar equations:

| 8(2w-6)+4(-1-52)=0 | | Y=2/4x-5 | | (x*2)*2=1463 | | (3x-2)(5x+1)= | | 80=-4.9t^2+164t+30 | | (3x^2-2)(5x+1)= | | Y/3-12=26 | | 6y=5x+30 | | 2x-5(x-2)=-6+5x-8 | | 0.6(1+p)=1.05 | | -7(5x-6)+1=35x+43 | | -5(x+2)+3=-5-10 | | 4x+3=-2x-11+6x+8 | | h=4.9t^2+164t+30 | | 5y^4*6y^2= | | A/14=-16 | | 13y-11x=-12 | | 330t-30t^2=330-30t | | 5b+17=97 | | y=55-6(7) | | 20-3x+6x-6=16 | | cos45=x/28 | | 3x+11-7=-37 | | 36g-9g=48 | | 40=s(d-2) | | 2y-3x=48 | | 6w+12=60 | | -5x-10x+20=-5 | | sin60=x/10 | | 3x-4+17x=36 | | 3/2u=42 | | 6x+7x-20=60-7x |

Equations solver categories