log(x-4)(logx-8)=0

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Solution for log(x-4)(logx-8)=0 equation:


Simplifying
log(x + -4)(logx + -8) = 0

Reorder the terms:
glo(-4 + x)(logx + -8) = 0

Reorder the terms:
glo(-4 + x)(-8 + glox) = 0

Multiply (-4 + x) * (-8 + glox)
glo(-4(-8 + glox) + x(-8 + glox)) = 0
glo((-8 * -4 + glox * -4) + x(-8 + glox)) = 0
glo((32 + -4glox) + x(-8 + glox)) = 0
glo(32 + -4glox + (-8 * x + glox * x)) = 0

Reorder the terms:
glo(32 + -4glox + (glox2 + -8x)) = 0
glo(32 + -4glox + (glox2 + -8x)) = 0
glo(32 + -4glox + glox2 + -8x) = 0
(32 * glo + -4glox * glo + glox2 * glo + -8x * glo) = 0

Reorder the terms:
(32glo + -8glox + -4g2l2o2x + g2l2o2x2) = 0
(32glo + -8glox + -4g2l2o2x + g2l2o2x2) = 0

Solving
32glo + -8glox + -4g2l2o2x + g2l2o2x2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(32 + -8x + -4glox + glox2) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(32 + -8x + -4glox + glox2)' equal to zero and attempt to solve: Simplifying 32 + -8x + -4glox + glox2 = 0 Reorder the terms: 32 + -4glox + glox2 + -8x = 0 Solving 32 + -4glox + glox2 + -8x = 0 Move all terms containing g to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -4glox + glox2 + -32 + -8x = 0 + -32 Reorder the terms: 32 + -32 + -4glox + glox2 + -8x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4glox + glox2 + -8x = 0 + -32 -4glox + glox2 + -8x = 0 + -32 Combine like terms: 0 + -32 = -32 -4glox + glox2 + -8x = -32 Add '8x' to each side of the equation. -4glox + glox2 + -8x + 8x = -32 + 8x Combine like terms: -8x + 8x = 0 -4glox + glox2 + 0 = -32 + 8x -4glox + glox2 = -32 + 8x 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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