Ln(4-x)=ln(x+8)+ln(2x+13)

Simple and best practice solution for Ln(4-x)=ln(x+8)+ln(2x+13) 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(x+8)+ln(2x+13) equation: 


Simplifying
Ln(4 + -1x) = ln(x + 8) + ln(2x + 13)
(4 * nL + -1x * nL) = ln(x + 8) + ln(2x + 13)
(4nL + -1nxL) = ln(x + 8) + ln(2x + 13)

Reorder the terms:
4nL + -1nxL = ln(8 + x) + ln(2x + 13)
4nL + -1nxL = (8 * ln + x * ln) + ln(2x + 13)
4nL + -1nxL = (8ln + lnx) + ln(2x + 13)

Reorder the terms:
4nL + -1nxL = 8ln + lnx + ln(13 + 2x)
4nL + -1nxL = 8ln + lnx + (13 * ln + 2x * ln)
4nL + -1nxL = 8ln + lnx + (13ln + 2lnx)

Reorder the terms:
4nL + -1nxL = 8ln + 13ln + lnx + 2lnx

Combine like terms: 8ln + 13ln = 21ln
4nL + -1nxL = 21ln + lnx + 2lnx

Combine like terms: lnx + 2lnx = 3lnx
4nL + -1nxL = 21ln + 3lnx

Solving
4nL + -1nxL = 21ln + 3lnx

Solving for variable 'n'.

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

Add '-21ln' to each side of the equation.
4nL + -21ln + -1nxL = 21ln + -21ln + 3lnx

Reorder the terms:
-21ln + 4nL + -1nxL = 21ln + -21ln + 3lnx

Combine like terms: 21ln + -21ln = 0
-21ln + 4nL + -1nxL = 0 + 3lnx
-21ln + 4nL + -1nxL = 3lnx

Add '-3lnx' to each side of the equation.
-21ln + 4nL + -3lnx + -1nxL = 3lnx + -3lnx

Reorder the terms:
-21ln + -3lnx + 4nL + -1nxL = 3lnx + -3lnx

Combine like terms: 3lnx + -3lnx = 0
-21ln + -3lnx + 4nL + -1nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-21l + -3lx + 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 '(-21l + -3lx + 4L + -1xL)' equal to zero and attempt to solve:

Simplifying
-21l + -3lx + 4L + -1xL = 0

Reorder the terms:
4L + -21l + -3lx + -1xL = 0

Solving
4L + -21l + -3lx + -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 + -21l + -3lx + -4L + -1xL = 0 + -4L

Reorder the terms:
4L + -4L + -21l + -3lx + -1xL = 0 + -4L

Combine like terms: 4L + -4L = 0
0 + -21l + -3lx + -1xL = 0 + -4L
-21l + -3lx + -1xL = 0 + -4L
Remove the zero:
-21l + -3lx + -1xL = -4L

Add '21l' to each side of the equation.
-21l + -3lx + 21l + -1xL = -4L + 21l

Reorder the terms:
-21l + 21l + -3lx + -1xL = -4L + 21l

Combine like terms: -21l + 21l = 0
0 + -3lx + -1xL = -4L + 21l
-3lx + -1xL = -4L + 21l

Add '3lx' to each side of the equation.
-3lx + 3lx + -1xL = -4L + 21l + 3lx

Combine like terms: -3lx + 3lx = 0
0 + -1xL = -4L + 21l + 3lx
-1xL = -4L + 21l + 3lx

Add 'xL' to each side of the equation.
-1xL + xL = -4L + 21l + 3lx + xL

Combine like terms: -1xL + xL = 0
0 = -4L + 21l + 3lx + xL

Simplifying
0 = -4L + 21l + 3lx + 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:

| 4b^2+5b-6=0 | | 0=12+x^2-3x-x+3 | | -1xt=11 | | 7+3w=-5 | | 10h-21=59 | | 125-x=170 | | 5a^2-6a-8=0 | | 7(x+3)-2(x-5)= | | -8=-2+v | | 36x=40x^2-4x^3 | | 10h+3=83 | | 12=6(2)+b | | 6x-4+87=12x+11 | | 20=2(u+2)-6u | | -5(6v-8)=31+9v | | A*3+2=12 | | 4(x+5)=12x | | 8r-7=23-2r | | 7m-26=23 | | -5(x-3)=-31 | | x^3+x^2-11x-3=0 | | 8m+3=59 | | -4.4s-2=-5.5s-2.2 | | 9x+7x+6=102 | | 9x+7x+6=180 | | 3x-150y=300 | | 3c^2+(4c-10c^2)+(5c-1)=1 | | 4x^3-2x^2=36x-18 | | n^2-9n+20=o | | -9z+2(-2-z)= | | 3(x)=-2x-1 | | 5n-10=109 |

Equations solver categories