x=5ln(x)

Solution for x=5ln(x) equation:

Simplifying
x = 5ln(x)

Multiply ln * x
x = 5lnx

Solving
x = 5lnx

Solving for variable 'x'.

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

Add '-5lnx' to each side of the equation.
-5lnx + x = 5lnx + -5lnx

Combine like terms: 5lnx + -5lnx = 0
-5lnx + x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5ln + 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 '(-5ln + 1)' equal to zero and attempt to solve:

Simplifying
-5ln + 1 = 0

Reorder the terms:
1 + -5ln = 0

Solving
1 + -5ln = 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 + -5ln = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5ln = 0 + -1
-5ln = 0 + -1

Combine like terms: 0 + -1 = -1
-5ln = -1

Add '5ln' to each side of the equation.
-5ln + 5ln = -1 + 5ln

Combine like terms: -5ln + 5ln = 0
0 = -1 + 5ln

Simplifying
0 = -1 + 5ln

The solution to this equation could not be determined.

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