Ln(x+4)=ln(7)

Solution for Ln(x+4)=ln(7) equation:

Simplifying
Ln(x + 4) = ln(7)

Reorder the terms:
nL(4 + x) = ln(7)
(4 * nL + x * nL) = ln(7)
(4nL + nxL) = ln(7)

Reorder the terms for easier multiplication:
4nL + nxL = 7ln

Solving
4nL + nxL = 7ln

Solving for variable 'n'.

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

Add '-7ln' to each side of the equation.
4nL + -7ln + nxL = 7ln + -7ln

Reorder the terms:
-7ln + 4nL + nxL = 7ln + -7ln

Combine like terms: 7ln + -7ln = 0
-7ln + 4nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-7l + 4L + 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 '(-7l + 4L + xL)' equal to zero and attempt to solve:

Simplifying
-7l + 4L + xL = 0

Reorder the terms:
4L + -7l + xL = 0

Solving
4L + -7l + xL = 0

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

Add '-4L' to each side of the equation.
4L + -7l + -4L + xL = 0 + -4L

Reorder the terms:
4L + -4L + -7l + xL = 0 + -4L

Combine like terms: 4L + -4L = 0
0 + -7l + xL = 0 + -4L
-7l + xL = 0 + -4L
Remove the zero:
-7l + xL = -4L

Add '7l' to each side of the equation.
-7l + 7l + xL = -4L + 7l

Combine like terms: -7l + 7l = 0
0 + xL = -4L + 7l
xL = -4L + 7l

Add '-1xL' to each side of the equation.
xL + -1xL = -4L + 7l + -1xL

Combine like terms: xL + -1xL = 0
0 = -4L + 7l + -1xL

Simplifying
0 = -4L + 7l + -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}