2x=log(6x)

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Solution for 2x=log(6x) equation: 


Simplifying
2x = log(6x)

Remove parenthesis around (6x)
2x = glo * 6x

Reorder the terms for easier multiplication:
2x = 6glo * x

Multiply glo * x
2x = 6glox

Solving
2x = 6glox

Solving for variable 'x'.

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

Add '-6glox' to each side of the equation.
-6glox + 2x = 6glox + -6glox

Combine like terms: 6glox + -6glox = 0
-6glox + 2x = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-3glo + 1) = 0

Ignore the factor 2.

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 '(-3glo + 1)' equal to zero and attempt to solve:

Simplifying
-3glo + 1 = 0

Reorder the terms:
1 + -3glo = 0

Solving
1 + -3glo = 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 + -3glo = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3glo = 0 + -1
-3glo = 0 + -1

Combine like terms: 0 + -1 = -1
-3glo = -1

Add '3glo' to each side of the equation.
-3glo + 3glo = -1 + 3glo

Combine like terms: -3glo + 3glo = 0
0 = -1 + 3glo

Simplifying
0 = -1 + 3glo

The solution to this equation could not be determined.

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

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