Ln(4-x)=ln(4x-11)

Simple and best practice solution for Ln(4-x)=ln(4x-11) 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(4-x)=ln(4x-11) equation: 


Simplifying
Ln(4 + -1x) = ln(4x + -11)
(4 * nL + -1x * nL) = ln(4x + -11)
(4nL + -1nxL) = ln(4x + -11)

Reorder the terms:
4nL + -1nxL = ln(-11 + 4x)
4nL + -1nxL = (-11 * ln + 4x * ln)
4nL + -1nxL = (-11ln + 4lnx)

Solving
4nL + -1nxL = -11ln + 4lnx

Solving for variable 'n'.

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

Add '11ln' to each side of the equation.
4nL + 11ln + -1nxL = -11ln + 11ln + 4lnx

Reorder the terms:
11ln + 4nL + -1nxL = -11ln + 11ln + 4lnx

Combine like terms: -11ln + 11ln = 0
11ln + 4nL + -1nxL = 0 + 4lnx
11ln + 4nL + -1nxL = 4lnx

Add '-4lnx' to each side of the equation.
11ln + 4nL + -4lnx + -1nxL = 4lnx + -4lnx

Reorder the terms:
11ln + -4lnx + 4nL + -1nxL = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
11ln + -4lnx + 4nL + -1nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(11l + -4lx + 4L + -1xL) = 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 '(11l + -4lx + 4L + -1xL)' equal to zero and attempt to solve:

Simplifying
11l + -4lx + 4L + -1xL = 0

Reorder the terms:
4L + 11l + -4lx + -1xL = 0

Solving
4L + 11l + -4lx + -1xL = 0

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

Add '-4L' to each side of the equation.
4L + 11l + -4lx + -4L + -1xL = 0 + -4L

Reorder the terms:
4L + -4L + 11l + -4lx + -1xL = 0 + -4L

Combine like terms: 4L + -4L = 0
0 + 11l + -4lx + -1xL = 0 + -4L
11l + -4lx + -1xL = 0 + -4L
Remove the zero:
11l + -4lx + -1xL = -4L

Add '-11l' to each side of the equation.
11l + -4lx + -11l + -1xL = -4L + -11l

Reorder the terms:
11l + -11l + -4lx + -1xL = -4L + -11l

Combine like terms: 11l + -11l = 0
0 + -4lx + -1xL = -4L + -11l
-4lx + -1xL = -4L + -11l

Add '4lx' to each side of the equation.
-4lx + 4lx + -1xL = -4L + -11l + 4lx

Combine like terms: -4lx + 4lx = 0
0 + -1xL = -4L + -11l + 4lx
-1xL = -4L + -11l + 4lx

Add 'xL' to each side of the equation.
-1xL + xL = -4L + -11l + 4lx + xL

Combine like terms: -1xL + xL = 0
0 = -4L + -11l + 4lx + xL

Simplifying
0 = -4L + -11l + 4lx + xL

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:

| 3x/4-x/3=8 | | y+-5=17 | | 3x+35=2x+50 | | 35s+50t=2600 | | 0.4x-0.7x-8=1 | | x-x/3=8 | | 19x-20y=34 | | 6(-1)-3y=15 | | 6(0)-3x=15 | | 6-3y=-x | | x^2+y^2-6x=0 | | 5x^2-3x-8=-3 | | 6a^2+7a-3= | | v=3*8*8*12 | | 8k^2-k-135=2k^2-4k | | 1nx=1.8 | | 3b-4=2b+3 | | x^2-10x-48=8 | | v=3/8x8x12 | | 4v^2-10v-80=4 | | y(-11-y)=0 | | z-7z=8z-6z | | 5x+9x+4=0 | | 1=10(7)+b | | 36/9*3=12 | | w/6-23=2 | | Y/5-6=9 | | x*x-x-90=0 | | x^2+16x^2+60x=0 | | 7-7=12x+7x | | 15-2x=x+8 | | 5u+2u+8=19 |

Equations solver categories