log(7-x)-log(3x+4)=0

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Solution for log(7-x)-log(3x+4)=0 equation:


Simplifying
log(7 + -1x) + -1log(3x + 4) = 0
(7 * glo + -1x * glo) + -1log(3x + 4) = 0
(7glo + -1glox) + -1log(3x + 4) = 0

Reorder the terms:
7glo + -1glox + -1glo(4 + 3x) = 0
7glo + -1glox + (4 * -1glo + 3x * -1glo) = 0
7glo + -1glox + (-4glo + -3glox) = 0

Reorder the terms:
7glo + -4glo + -1glox + -3glox = 0

Combine like terms: 7glo + -4glo = 3glo
3glo + -1glox + -3glox = 0

Combine like terms: -1glox + -3glox = -4glox
3glo + -4glox = 0

Solving
3glo + -4glox = 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(3 + -4x) = 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 '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Add '4x' to each side of the equation. -4x + 4x = -3 + 4x Combine like terms: -4x + 4x = 0 0 = -3 + 4x Simplifying 0 = -3 + 4x 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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