Ln(3x+3)=ln(x+11)

Solution for Ln(3x+3)=ln(x+11) equation:

Simplifying
Ln(3x + 3) = ln(x + 11)

Reorder the terms:
nL(3 + 3x) = ln(x + 11)
(3 * nL + 3x * nL) = ln(x + 11)
(3nL + 3nxL) = ln(x + 11)

Reorder the terms:
3nL + 3nxL = ln(11 + x)
3nL + 3nxL = (11 * ln + x * ln)
3nL + 3nxL = (11ln + lnx)

Solving
3nL + 3nxL = 11ln + lnx

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.
3nL + -11ln + 3nxL = 11ln + -11ln + lnx

Reorder the terms:
-11ln + 3nL + 3nxL = 11ln + -11ln + lnx

Combine like terms: 11ln + -11ln = 0
-11ln + 3nL + 3nxL = 0 + lnx
-11ln + 3nL + 3nxL = lnx

Add '-1lnx' to each side of the equation.
-11ln + 3nL + -1lnx + 3nxL = lnx + -1lnx

Reorder the terms:
-11ln + -1lnx + 3nL + 3nxL = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-11ln + -1lnx + 3nL + 3nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-11l + -1lx + 3L + 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 '(-11l + -1lx + 3L + 3xL)' equal to zero and attempt to solve:

Simplifying
-11l + -1lx + 3L + 3xL = 0

Reorder the terms:
3L + -11l + -1lx + 3xL = 0

Solving
3L + -11l + -1lx + 3xL = 0

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

Add '-3L' to each side of the equation.
3L + -11l + -1lx + -3L + 3xL = 0 + -3L

Reorder the terms:
3L + -3L + -11l + -1lx + 3xL = 0 + -3L

Combine like terms: 3L + -3L = 0
0 + -11l + -1lx + 3xL = 0 + -3L
-11l + -1lx + 3xL = 0 + -3L
Remove the zero:
-11l + -1lx + 3xL = -3L

Add '11l' to each side of the equation.
-11l + -1lx + 11l + 3xL = -3L + 11l

Reorder the terms:
-11l + 11l + -1lx + 3xL = -3L + 11l

Combine like terms: -11l + 11l = 0
0 + -1lx + 3xL = -3L + 11l
-1lx + 3xL = -3L + 11l

Add 'lx' to each side of the equation.
-1lx + lx + 3xL = -3L + 11l + lx

Combine like terms: -1lx + lx = 0
0 + 3xL = -3L + 11l + lx
3xL = -3L + 11l + lx

Add '-3xL' to each side of the equation.
3xL + -3xL = -3L + 11l + lx + -3xL

Combine like terms: 3xL + -3xL = 0
0 = -3L + 11l + lx + -3xL

Simplifying
0 = -3L + 11l + lx + -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}