Log(5-n)=log(-5n-8)

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Solution for Log(5-n)=log(-5n-8) equation:


Simplifying
Log(5 + -1n) = log(-5n + -8)
(5 * goL + -1n * goL) = log(-5n + -8)

Reorder the terms:
(-1gnoL + 5goL) = log(-5n + -8)
(-1gnoL + 5goL) = log(-5n + -8)

Reorder the terms:
-1gnoL + 5goL = glo(-8 + -5n)
-1gnoL + 5goL = (-8 * glo + -5n * glo)

Reorder the terms:
-1gnoL + 5goL = (-5glno + -8glo)
-1gnoL + 5goL = (-5glno + -8glo)

Solving
-1gnoL + 5goL = -5glno + -8glo

Solving for variable 'g'.

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

Add '5glno' to each side of the equation.
-1gnoL + 5glno + 5goL = -5glno + 5glno + -8glo

Reorder the terms:
5glno + -1gnoL + 5goL = -5glno + 5glno + -8glo

Combine like terms: -5glno + 5glno = 0
5glno + -1gnoL + 5goL = 0 + -8glo
5glno + -1gnoL + 5goL = -8glo

Add '8glo' to each side of the equation.
5glno + -1gnoL + 8glo + 5goL = -8glo + 8glo

Reorder the terms:
5glno + 8glo + -1gnoL + 5goL = -8glo + 8glo

Combine like terms: -8glo + 8glo = 0
5glno + 8glo + -1gnoL + 5goL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(5ln + 8l + -1nL + 5L) = 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 '(5ln + 8l + -1nL + 5L)' equal to zero and attempt to solve: Simplifying 5ln + 8l + -1nL + 5L = 0 Reorder the terms: 5L + 8l + 5ln + -1nL = 0 Solving 5L + 8l + 5ln + -1nL = 0 Move all terms containing g to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + 8l + 5ln + -5L + -1nL = 0 + -5L Reorder the terms: 5L + -5L + 8l + 5ln + -1nL = 0 + -5L Combine like terms: 5L + -5L = 0 0 + 8l + 5ln + -1nL = 0 + -5L 8l + 5ln + -1nL = 0 + -5L Remove the zero: 8l + 5ln + -1nL = -5L Add '-8l' to each side of the equation. 8l + 5ln + -8l + -1nL = -5L + -8l Reorder the terms: 8l + -8l + 5ln + -1nL = -5L + -8l Combine like terms: 8l + -8l = 0 0 + 5ln + -1nL = -5L + -8l 5ln + -1nL = -5L + -8l Add '-5ln' to each side of the equation. 5ln + -5ln + -1nL = -5L + -8l + -5ln Combine like terms: 5ln + -5ln = 0 0 + -1nL = -5L + -8l + -5ln -1nL = -5L + -8l + -5ln Add 'nL' to each side of the equation. -1nL + nL = -5L + -8l + -5ln + nL Combine like terms: -1nL + nL = 0 0 = -5L + -8l + -5ln + nL Simplifying 0 = -5L + -8l + -5ln + nL 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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