Ln(x)=ln(15)+ln(1)-ln(3)-ln(5)

Solution for Ln(x)=ln(15)+ln(1)-ln(3)-ln(5) equation:

Simplifying
Ln(x) = ln(15) + ln(1) + -1ln(3) + -1ln(5)

Multiply nL * x
nxL = ln(15) + ln(1) + -1ln(3) + -1ln(5)

Reorder the terms for easier multiplication:
nxL = 15ln + ln(1) + -1ln(3) + -1ln(5)

Reorder the terms for easier multiplication:
nxL = 15ln + 1ln + -1ln(3) + -1ln(5)

Reorder the terms for easier multiplication:
nxL = 15ln + 1ln + -1 * 3ln + -1ln(5)

Multiply -1 * 3
nxL = 15ln + 1ln + -3ln + -1ln(5)

Reorder the terms for easier multiplication:
nxL = 15ln + 1ln + -3ln + -1 * 5ln

Multiply -1 * 5
nxL = 15ln + 1ln + -3ln + -5ln

Combine like terms: 15ln + 1ln = 16ln
nxL = 16ln + -3ln + -5ln

Combine like terms: 16ln + -3ln = 13ln
nxL = 13ln + -5ln

Combine like terms: 13ln + -5ln = 8ln
nxL = 8ln

Solving
nxL = 8ln

Solving for variable 'n'.

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

Add '-8ln' to each side of the equation.
-8ln + nxL = 8ln + -8ln

Combine like terms: 8ln + -8ln = 0
-8ln + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-8l + 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 '(-8l + xL)' equal to zero and attempt to solve:

Simplifying
-8l + xL = 0

Solving
-8l + xL = 0

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

Add '8l' to each side of the equation.
-8l + 8l + xL = 0 + 8l

Combine like terms: -8l + 8l = 0
0 + xL = 0 + 8l
xL = 0 + 8l
Remove the zero:
xL = 8l

Add '-1xL' to each side of the equation.
xL + -1xL = 8l + -1xL

Combine like terms: xL + -1xL = 0
0 = 8l + -1xL

Simplifying
0 = 8l + -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}