Ln(x)=ln(x^2-6)

Simple and best practice solution for Ln(x)=ln(x^2-6) 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(x)=ln(x^2-6) equation: 


Simplifying
Ln(x) = ln(x2 + -6)

Multiply nL * x
nxL = ln(x2 + -6)

Reorder the terms:
nxL = ln(-6 + x2)
nxL = (-6 * ln + x2 * ln)
nxL = (-6ln + lnx2)

Solving
nxL = -6ln + lnx2

Solving for variable 'n'.

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

Add '6ln' to each side of the equation.
6ln + nxL = -6ln + 6ln + lnx2

Combine like terms: -6ln + 6ln = 0
6ln + nxL = 0 + lnx2
6ln + nxL = lnx2

Add '-1lnx2' to each side of the equation.
6ln + -1lnx2 + nxL = lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
6ln + -1lnx2 + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(6l + -1lx2 + xL) = 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 '(6l + -1lx2 + xL)' equal to zero and attempt to solve:

Simplifying
6l + -1lx2 + xL = 0

Solving
6l + -1lx2 + xL = 0

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

Add '-6l' to each side of the equation.
6l + -1lx2 + -6l + xL = 0 + -6l

Reorder the terms:
6l + -6l + -1lx2 + xL = 0 + -6l

Combine like terms: 6l + -6l = 0
0 + -1lx2 + xL = 0 + -6l
-1lx2 + xL = 0 + -6l
Remove the zero:
-1lx2 + xL = -6l

Add 'lx2' to each side of the equation.
-1lx2 + lx2 + xL = -6l + lx2

Combine like terms: -1lx2 + lx2 = 0
0 + xL = -6l + lx2
xL = -6l + lx2

Add '-1xL' to each side of the equation.
xL + -1xL = -6l + lx2 + -1xL

Combine like terms: xL + -1xL = 0
0 = -6l + lx2 + -1xL

Simplifying
0 = -6l + lx2 + -1xL

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:

| 9*2=25 | | a+45+29a-41=31a | | 1/x-2=1/x-1-2/5x | | 6x^2-40x=0 | | y+y=y+31 | | 10+3x=3x+58 | | 2.8=0.4x+1.2 | | (x+39)=(2x-19) | | s-28+s=s+30 | | -45=2(3y-3)-3(4y+1) | | x^2-2x+.5=0 | | 11+x+9= | | x-8=61-12(x+9) | | p+1+p=p+49 | | x+39=2x-19 | | 5x+11=3y | | 4x+2x=156 | | 12x^2=2x+13 | | -16x-15=4x+35 | | 9b-7= | | (2x+3y)(4x-7y)= | | r/7-50=20 | | p-13+p=p+48 | | (2x+3y)(4y-7y)= | | 7x^2-57x+108=0 | | 3c^3+9c^2-54c=0 | | 10x-21=2(2x) | | 5(x+4)=40+30 | | 6x^2-183x+350=0 | | p-1+p+10=p+41 | | 3xy-9y=12 | | 2(x-3)-8=21-3x |

Equations solver categories