2log(2x-5)-log(x^2-8)=0

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Solution for 2log(2x-5)-log(x^2-8)=0 equation:


Simplifying
2log(2x + -5) + -1log(x2 + -8) = 0

Reorder the terms:
2glo(-5 + 2x) + -1log(x2 + -8) = 0
(-5 * 2glo + 2x * 2glo) + -1log(x2 + -8) = 0
(-10glo + 4glox) + -1log(x2 + -8) = 0

Reorder the terms:
-10glo + 4glox + -1glo(-8 + x2) = 0
-10glo + 4glox + (-8 * -1glo + x2 * -1glo) = 0
-10glo + 4glox + (8glo + -1glox2) = 0

Reorder the terms:
-10glo + 8glo + 4glox + -1glox2 = 0

Combine like terms: -10glo + 8glo = -2glo
-2glo + 4glox + -1glox2 = 0

Solving
-2glo + 4glox + -1glox2 = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-2 + 4x + -1x2) = 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 '(-2 + 4x + -1x2)' equal to zero and attempt to solve: Simplifying -2 + 4x + -1x2 = 0 Solving -2 + 4x + -1x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4x + 2 + -1x2 = 0 + 2 Reorder the terms: -2 + 2 + 4x + -1x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4x + -1x2 = 0 + 2 4x + -1x2 = 0 + 2 Combine like terms: 0 + 2 = 2 4x + -1x2 = 2 Add '-4x' to each side of the equation. 4x + -4x + -1x2 = 2 + -4x Combine like terms: 4x + -4x = 0 0 + -1x2 = 2 + -4x -1x2 = 2 + -4x Add 'x2' to each side of the equation. -1x2 + x2 = 2 + -4x + x2 Combine like terms: -1x2 + x2 = 0 0 = 2 + -4x + x2 Simplifying 0 = 2 + -4x + x2 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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