Ln(5x-2)=ln(2x+4)

Simple and best practice solution for Ln(5x-2)=ln(2x+4) 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(5x-2)=ln(2x+4) equation: 


Simplifying
Ln(5x + -2) = ln(2x + 4)

Reorder the terms:
nL(-2 + 5x) = ln(2x + 4)
(-2 * nL + 5x * nL) = ln(2x + 4)
(-2nL + 5nxL) = ln(2x + 4)

Reorder the terms:
-2nL + 5nxL = ln(4 + 2x)
-2nL + 5nxL = (4 * ln + 2x * ln)
-2nL + 5nxL = (4ln + 2lnx)

Solving
-2nL + 5nxL = 4ln + 2lnx

Solving for variable 'n'.

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

Add '-4ln' to each side of the equation.
-2nL + -4ln + 5nxL = 4ln + -4ln + 2lnx

Reorder the terms:
-4ln + -2nL + 5nxL = 4ln + -4ln + 2lnx

Combine like terms: 4ln + -4ln = 0
-4ln + -2nL + 5nxL = 0 + 2lnx
-4ln + -2nL + 5nxL = 2lnx

Add '-2lnx' to each side of the equation.
-4ln + -2nL + -2lnx + 5nxL = 2lnx + -2lnx

Reorder the terms:
-4ln + -2lnx + -2nL + 5nxL = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-4ln + -2lnx + -2nL + 5nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-4l + -2lx + -2L + 5xL) = 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 '(-4l + -2lx + -2L + 5xL)' equal to zero and attempt to solve:

Simplifying
-4l + -2lx + -2L + 5xL = 0

Reorder the terms:
-2L + -4l + -2lx + 5xL = 0

Solving
-2L + -4l + -2lx + 5xL = 0

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

Add '2L' to each side of the equation.
-2L + -4l + -2lx + 2L + 5xL = 0 + 2L

Reorder the terms:
-2L + 2L + -4l + -2lx + 5xL = 0 + 2L

Combine like terms: -2L + 2L = 0
0 + -4l + -2lx + 5xL = 0 + 2L
-4l + -2lx + 5xL = 0 + 2L
Remove the zero:
-4l + -2lx + 5xL = 2L

Add '4l' to each side of the equation.
-4l + -2lx + 4l + 5xL = 2L + 4l

Reorder the terms:
-4l + 4l + -2lx + 5xL = 2L + 4l

Combine like terms: -4l + 4l = 0
0 + -2lx + 5xL = 2L + 4l
-2lx + 5xL = 2L + 4l

Add '2lx' to each side of the equation.
-2lx + 2lx + 5xL = 2L + 4l + 2lx

Combine like terms: -2lx + 2lx = 0
0 + 5xL = 2L + 4l + 2lx
5xL = 2L + 4l + 2lx

Add '-5xL' to each side of the equation.
5xL + -5xL = 2L + 4l + 2lx + -5xL

Combine like terms: 5xL + -5xL = 0
0 = 2L + 4l + 2lx + -5xL

Simplifying
0 = 2L + 4l + 2lx + -5xL

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:

| 36=9xb | | 13=4+n | | -4x+5x+2-2x+10x=29 | | v=10 | | Y=e^4x^3 | | -3(x+2)+100=43 | | 9x+8=-10 | | 1/2(2x-8)=12 | | 2k+(-9)=-1 | | 36=27+n | | -6x+-30=-60 | | f(x)=x(3x-9)2 | | x-25=-24 | | (3y-8)+55=180 | | -36+3y=12 | | 20x=-x^2-96 | | a=-6xb | | 36+5y=-60 | | 12+v=-14 | | 4y+9=65 | | 1/2(2x+8)=12 | | sin(0.5x)=-0.5 | | x^2+4=54 | | 7=x^2-6x | | 6(2s+t)-(3t-2t)= | | 4t+11t-20=0 | | 0.9=-1.8 | | 3(x+4)+3(y-4)=14 | | 0.5x-9+0.66x=1.16x+3 | | 6-2z=2 | | -13(x+1)=-13-13 | | 10k-9=6k |

Equations solver categories