x*log(x)=log(3000+x^3)

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Solution for x*log(x)=log(3000+x^3) equation: 


Simplifying
x * log(x) = log(3000 + x3)

Multiply x * glo
glox * x = log(3000 + x3)

Multiply glox * x
glox2 = log(3000 + x3)
glox2 = (3000 * glo + x3 * glo)
glox2 = (3000glo + glox3)

Solving
glox2 = 3000glo + glox3

Solving for variable 'g'.

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

Add '-3000glo' to each side of the equation.
-3000glo + glox2 = 3000glo + -3000glo + glox3

Combine like terms: 3000glo + -3000glo = 0
-3000glo + glox2 = 0 + glox3
-3000glo + glox2 = glox3

Add '-1glox3' to each side of the equation.
-3000glo + glox2 + -1glox3 = glox3 + -1glox3

Combine like terms: glox3 + -1glox3 = 0
-3000glo + glox2 + -1glox3 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-3000 + x2 + -1x3) = 0


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

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 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 '(-3000 + x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-3000 + x2 + -1x3 = 0

Solving
-3000 + x2 + -1x3 = 0

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

Add '3000' to each side of the equation.
-3000 + x2 + 3000 + -1x3 = 0 + 3000

Reorder the terms:
-3000 + 3000 + x2 + -1x3 = 0 + 3000

Combine like terms: -3000 + 3000 = 0
0 + x2 + -1x3 = 0 + 3000
x2 + -1x3 = 0 + 3000

Combine like terms: 0 + 3000 = 3000
x2 + -1x3 = 3000

Add '-1x2' to each side of the equation.
x2 + -1x2 + -1x3 = 3000 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + -1x3 = 3000 + -1x2
-1x3 = 3000 + -1x2

Add 'x3' to each side of the equation.
-1x3 + x3 = 3000 + -1x2 + x3

Combine like terms: -1x3 + x3 = 0
0 = 3000 + -1x2 + x3

Simplifying
0 = 3000 + -1x2 + x3

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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