x=ln(sin(x))

Solution for x=ln(sin(x)) equation:

Simplifying
x = ln(sin(x))

Multiply ins * x
x = ln(insx)

Multiply ln * insx
x = iln2sx

Solving
x = iln2sx

Solving for variable 'x'.

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

Add '-1iln2sx' to each side of the equation.
-1iln2sx + x = iln2sx + -1iln2sx

Combine like terms: iln2sx + -1iln2sx = 0
-1iln2sx + x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1iln2s + 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 '(-1iln2s + 1)' equal to zero and attempt to solve:

Simplifying
-1iln2s + 1 = 0

Reorder the terms:
1 + -1iln2s = 0

Solving
1 + -1iln2s = 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 + -1iln2s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1iln2s = 0 + -1
-1iln2s = 0 + -1

Combine like terms: 0 + -1 = -1
-1iln2s = -1

Add 'iln2s' to each side of the equation.
-1iln2s + iln2s = -1 + iln2s

Combine like terms: -1iln2s + iln2s = 0
0 = -1 + iln2s

Simplifying
0 = -1 + iln2s

The solution to this equation could not be determined.

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