Log(16+2x)=log(x^2-4x)

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Solution for Log(16+2x)=log(x^2-4x) equation:


Simplifying
Log(16 + 2x) = log(x2 + -4x)
(16 * goL + 2x * goL) = log(x2 + -4x)
(16goL + 2goxL) = log(x2 + -4x)

Reorder the terms:
16goL + 2goxL = glo(-4x + x2)
16goL + 2goxL = (-4x * glo + x2 * glo)
16goL + 2goxL = (-4glox + glox2)

Solving
16goL + 2goxL = -4glox + glox2

Solving for variable 'g'.

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

Add '4glox' to each side of the equation.
16goL + 4glox + 2goxL = -4glox + 4glox + glox2

Reorder the terms:
4glox + 16goL + 2goxL = -4glox + 4glox + glox2

Combine like terms: -4glox + 4glox = 0
4glox + 16goL + 2goxL = 0 + glox2
4glox + 16goL + 2goxL = glox2

Add '-1glox2' to each side of the equation.
4glox + 16goL + -1glox2 + 2goxL = glox2 + -1glox2

Reorder the terms:
4glox + -1glox2 + 16goL + 2goxL = glox2 + -1glox2

Combine like terms: glox2 + -1glox2 = 0
4glox + -1glox2 + 16goL + 2goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(4lx + -1lx2 + 16L + 2xL) = 0

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(4lx + -1lx2 + 16L + 2xL)' equal to zero and attempt to solve: Simplifying 4lx + -1lx2 + 16L + 2xL = 0 Reorder the terms: 16L + 4lx + -1lx2 + 2xL = 0 Solving 16L + 4lx + -1lx2 + 2xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-16L' to each side of the equation. 16L + 4lx + -1lx2 + -16L + 2xL = 0 + -16L Reorder the terms: 16L + -16L + 4lx + -1lx2 + 2xL = 0 + -16L Combine like terms: 16L + -16L = 0 0 + 4lx + -1lx2 + 2xL = 0 + -16L 4lx + -1lx2 + 2xL = 0 + -16L Remove the zero: 4lx + -1lx2 + 2xL = -16L Add '-4lx' to each side of the equation. 4lx + -1lx2 + -4lx + 2xL = -16L + -4lx Reorder the terms: 4lx + -4lx + -1lx2 + 2xL = -16L + -4lx Combine like terms: 4lx + -4lx = 0 0 + -1lx2 + 2xL = -16L + -4lx -1lx2 + 2xL = -16L + -4lx Add 'lx2' to each side of the equation. -1lx2 + lx2 + 2xL = -16L + -4lx + lx2 Combine like terms: -1lx2 + lx2 = 0 0 + 2xL = -16L + -4lx + lx2 2xL = -16L + -4lx + lx2 Add '-2xL' to each side of the equation. 2xL + -2xL = -16L + -4lx + lx2 + -2xL Combine like terms: 2xL + -2xL = 0 0 = -16L + -4lx + lx2 + -2xL Simplifying 0 = -16L + -4lx + lx2 + -2xL 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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