x=ln(x^6)

Solution for x=ln(x^6) equation:

Simplifying
x = ln(x6)

Multiply ln * x6
x = lnx6

Solving
x = lnx6

Solving for variable 'x'.

Reorder the terms:
-1lnx6 + x = lnx6 + -1lnx6

Combine like terms: lnx6 + -1lnx6 = 0
-1lnx6 + x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1lnx5 + 1) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-1lnx5 + 1)' equal to zero and attempt to solve:

Simplifying
-1lnx5 + 1 = 0

Reorder the terms:
1 + -1lnx5 = 0

Solving
1 + -1lnx5 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1lnx5 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1lnx5 = 0 + -1
-1lnx5 = 0 + -1

Combine like terms: 0 + -1 = -1
-1lnx5 = -1

Divide each side by '-1ln'.
x5 = l-1n-1

Simplifying
x5 = l-1n-1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}