log(2)(2x^3-8)(2)log(2)x=log(2)x

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Solution for log(2)(2x^3-8)(2)log(2)x=log(2)x equation: 


Simplifying
log(2)(2x3 + -8)(2) * log(2) * x = log(2) * x

Reorder the terms:
glo * 2(-8 + 2x3)(2) * log(2) * x = log(2) * x

Reorder the terms for easier multiplication:
2 * 2 * 2glo * glo * x(-8 + 2x3) = log(2) * x

Multiply 2 * 2
4 * 2glo * glo * x(-8 + 2x3) = log(2) * x

Multiply 4 * 2
8glo * glo * x(-8 + 2x3) = log(2) * x

Multiply glo * glo
8g2l2o2 * x(-8 + 2x3) = log(2) * x

Multiply g2l2o2 * x
8g2l2o2x(-8 + 2x3) = log(2) * x
(-8 * 8g2l2o2x + 2x3 * 8g2l2o2x) = log(2) * x
(-64g2l2o2x + 16g2l2o2x4) = log(2) * x

Reorder the terms for easier multiplication:
-64g2l2o2x + 16g2l2o2x4 = 2glo * x

Multiply glo * x
-64g2l2o2x + 16g2l2o2x4 = 2glox

Solving
-64g2l2o2x + 16g2l2o2x4 = 2glox

Solving for variable 'g'.

Reorder the terms:
-2glox + -64g2l2o2x + 16g2l2o2x4 = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-2glox + -64g2l2o2x + 16g2l2o2x4 = 0

Factor out the Greatest Common Factor (GCF), '2glox'.
2glox(-1 + -32glo + 8glox3) = 0

Ignore the factor 2.

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

Simplifying
glox = 0

Solving
glox = 0

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

Simplifying
glox = 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 '(-1 + -32glo + 8glox3)' equal to zero and attempt to solve:

Simplifying
-1 + -32glo + 8glox3 = 0

Solving
-1 + -32glo + 8glox3 = 0

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

Add '1' to each side of the equation.
-1 + -32glo + 1 + 8glox3 = 0 + 1

Reorder the terms:
-1 + 1 + -32glo + 8glox3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -32glo + 8glox3 = 0 + 1
-32glo + 8glox3 = 0 + 1

Combine like terms: 0 + 1 = 1
-32glo + 8glox3 = 1

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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