x*ln(x)=ln(N)

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Solution for x*ln(x)=ln(N) equation: 


Simplifying
x * ln(x) = ln(N)

Multiply x * ln
lnx * x = ln(N)

Multiply lnx * x
lnx2 = ln(N)

Multiply ln * N
lnx2 = lnN

Solving
lnx2 = lnN

Solving for variable 'l'.

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

Add '-1lnN' to each side of the equation.
-1lnN + lnx2 = lnN + -1lnN

Combine like terms: lnN + -1lnN = 0
-1lnN + lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1N + x2) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1N + x2)' equal to zero and attempt to solve:

Simplifying
-1N + x2 = 0

Solving
-1N + x2 = 0

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

Add 'N' to each side of the equation.
-1N + N + x2 = 0 + N

Combine like terms: -1N + N = 0
0 + x2 = 0 + N
x2 = 0 + N
Remove the zero:
x2 = N

Add '-1x2' to each side of the equation.
x2 + -1x2 = N + -1x2

Combine like terms: x2 + -1x2 = 0
0 = N + -1x2

Simplifying
0 = N + -1x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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