Log[2]4x=log[2]x^3

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Solution for Log[2]4x=log[2]x^3 equation: 


Simplifying
Log[2] * 4x = log[2] * x3

Reorder the terms for easier multiplication:
2 * 4goL * x = log[2] * x3

Multiply 2 * 4
8goL * x = log[2] * x3

Multiply goL * x
8goxL = log[2] * x3

Reorder the terms for easier multiplication:
8goxL = 2glo * x3

Multiply glo * x3
8goxL = 2glox3

Solving
8goxL = 2glox3

Solving for variable 'g'.

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

Add '-2glox3' to each side of the equation.
-2glox3 + 8goxL = 2glox3 + -2glox3

Combine like terms: 2glox3 + -2glox3 = 0
-2glox3 + 8goxL = 0

Factor out the Greatest Common Factor (GCF), '2gox'.
2gox(-1lx2 + 4L) = 0

Ignore the factor 2.

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

Simplifying
gox = 0

Solving
gox = 0

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

Simplifying
gox = 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 '(-1lx2 + 4L)' equal to zero and attempt to solve:

Simplifying
-1lx2 + 4L = 0

Reorder the terms:
4L + -1lx2 = 0

Solving
4L + -1lx2 = 0

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

Add '-4L' to each side of the equation.
4L + -4L + -1lx2 = 0 + -4L

Combine like terms: 4L + -4L = 0
0 + -1lx2 = 0 + -4L
-1lx2 = 0 + -4L
Remove the zero:
-1lx2 = -4L

Add 'lx2' to each side of the equation.
-1lx2 + lx2 = -4L + lx2

Combine like terms: -1lx2 + lx2 = 0
0 = -4L + lx2

Simplifying
0 = -4L + lx2

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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