Log^2(x-4)=log^2(4x+1)

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Solution for Log^2(x-4)=log^2(4x+1) equation: 


Simplifying
Log2(x + -4) = log2(4x + 1)

Reorder the terms:
g2oL(-4 + x) = log2(4x + 1)
(-4 * g2oL + x * g2oL) = log2(4x + 1)
(-4g2oL + g2oxL) = log2(4x + 1)

Reorder the terms:
-4g2oL + g2oxL = g2lo(1 + 4x)
-4g2oL + g2oxL = (1 * g2lo + 4x * g2lo)
-4g2oL + g2oxL = (1g2lo + 4g2lox)

Solving
-4g2oL + g2oxL = 1g2lo + 4g2lox

Solving for variable 'g'.

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

Add '-1g2lo' to each side of the equation.
-4g2oL + -1g2lo + g2oxL = 1g2lo + -1g2lo + 4g2lox

Reorder the terms:
-1g2lo + -4g2oL + g2oxL = 1g2lo + -1g2lo + 4g2lox

Combine like terms: 1g2lo + -1g2lo = 0
-1g2lo + -4g2oL + g2oxL = 0 + 4g2lox
-1g2lo + -4g2oL + g2oxL = 4g2lox

Add '-4g2lox' to each side of the equation.
-1g2lo + -4g2oL + -4g2lox + g2oxL = 4g2lox + -4g2lox

Reorder the terms:
-1g2lo + -4g2lox + -4g2oL + g2oxL = 4g2lox + -4g2lox

Combine like terms: 4g2lox + -4g2lox = 0
-1g2lo + -4g2lox + -4g2oL + g2oxL = 0

Factor out the Greatest Common Factor (GCF), 'g2o'.
g2o(-1l + -4lx + -4L + xL) = 0


Subproblem 1
Set the factor 'g2o' equal to zero and attempt to solve:

Simplifying
g2o = 0

Solving
g2o = 0

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

Simplifying
g2o = 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 '(-1l + -4lx + -4L + xL)' equal to zero and attempt to solve:

Simplifying
-1l + -4lx + -4L + xL = 0

Reorder the terms:
-4L + -1l + -4lx + xL = 0

Solving
-4L + -1l + -4lx + xL = 0

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

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

Reorder the terms:
-4L + 4L + -1l + -4lx + xL = 0 + 4L

Combine like terms: -4L + 4L = 0
0 + -1l + -4lx + xL = 0 + 4L
-1l + -4lx + xL = 0 + 4L
Remove the zero:
-1l + -4lx + xL = 4L

Add 'l' to each side of the equation.
-1l + -4lx + l + xL = 4L + l

Reorder the terms:
-1l + l + -4lx + xL = 4L + l

Combine like terms: -1l + l = 0
0 + -4lx + xL = 4L + l
-4lx + xL = 4L + l

Add '4lx' to each side of the equation.
-4lx + 4lx + xL = 4L + l + 4lx

Combine like terms: -4lx + 4lx = 0
0 + xL = 4L + l + 4lx
xL = 4L + l + 4lx

Add '-1xL' to each side of the equation.
xL + -1xL = 4L + l + 4lx + -1xL

Combine like terms: xL + -1xL = 0
0 = 4L + l + 4lx + -1xL

Simplifying
0 = 4L + l + 4lx + -1xL

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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