Ln(x+5)=ln(3)

Solution for Ln(x+5)=ln(3) equation:

Simplifying
Ln(x + 5) = ln(3)

Reorder the terms:
nL(5 + x) = ln(3)
(5 * nL + x * nL) = ln(3)
(5nL + nxL) = ln(3)

Reorder the terms for easier multiplication:
5nL + nxL = 3ln

Solving
5nL + nxL = 3ln

Solving for variable 'n'.

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

Add '-3ln' to each side of the equation.
5nL + -3ln + nxL = 3ln + -3ln

Reorder the terms:
-3ln + 5nL + nxL = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
-3ln + 5nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-3l + 5L + 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 '(-3l + 5L + xL)' equal to zero and attempt to solve:

Simplifying
-3l + 5L + xL = 0

Reorder the terms:
5L + -3l + xL = 0

Solving
5L + -3l + xL = 0

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

Add '-5L' to each side of the equation.
5L + -3l + -5L + xL = 0 + -5L

Reorder the terms:
5L + -5L + -3l + xL = 0 + -5L

Combine like terms: 5L + -5L = 0
0 + -3l + xL = 0 + -5L
-3l + xL = 0 + -5L
Remove the zero:
-3l + xL = -5L

Add '3l' to each side of the equation.
-3l + 3l + xL = -5L + 3l

Combine like terms: -3l + 3l = 0
0 + xL = -5L + 3l
xL = -5L + 3l

Add '-1xL' to each side of the equation.
xL + -1xL = -5L + 3l + -1xL

Combine like terms: xL + -1xL = 0
0 = -5L + 3l + -1xL

Simplifying
0 = -5L + 3l + -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}