Log(7)+log(-x)=log(6-x)

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Solution for Log(7)+log(-x)=log(6-x) equation:


Simplifying
Log(7) + log(-1x) = log(6 + -1x)

Reorder the terms for easier multiplication:
7goL + log(-1x) = log(6 + -1x)

Remove parenthesis around (-1x)
7goL + glo * -1x = log(6 + -1x)

Reorder the terms for easier multiplication:
7goL + -1glo * x = log(6 + -1x)

Multiply glo * x
7goL + -1glox = log(6 + -1x)

Reorder the terms:
-1glox + 7goL = log(6 + -1x)
-1glox + 7goL = (6 * glo + -1x * glo)
-1glox + 7goL = (6glo + -1glox)

Add 'glox' to each side of the equation.
-1glox + glox + 7goL = 6glo + -1glox + glox

Combine like terms: -1glox + glox = 0
0 + 7goL = 6glo + -1glox + glox
7goL = 6glo + -1glox + glox

Combine like terms: -1glox + glox = 0
7goL = 6glo + 0
7goL = 6glo

Solving
7goL = 6glo

Solving for variable 'g'.

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

Add '-6glo' to each side of the equation.
-6glo + 7goL = 6glo + -6glo

Combine like terms: 6glo + -6glo = 0
-6glo + 7goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-6l + 7L) = 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 '(-6l + 7L)' equal to zero and attempt to solve: Simplifying -6l + 7L = 0 Reorder the terms: 7L + -6l = 0 Solving 7L + -6l = 0 Move all terms containing g to the left, all other terms to the right. Add '-7L' to each side of the equation. 7L + -7L + -6l = 0 + -7L Combine like terms: 7L + -7L = 0 0 + -6l = 0 + -7L -6l = 0 + -7L Remove the zero: -6l = -7L Add '6l' to each side of the equation. -6l + 6l = -7L + 6l Combine like terms: -6l + 6l = 0 0 = -7L + 6l Simplifying 0 = -7L + 6l 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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