Log(12-5x)=log(12-4x)

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Solution for Log(12-5x)=log(12-4x) equation:


Simplifying
Log(12 + -5x) = log(12 + -4x)
(12 * goL + -5x * goL) = log(12 + -4x)
(12goL + -5goxL) = log(12 + -4x)
12goL + -5goxL = (12 * glo + -4x * glo)
12goL + -5goxL = (12glo + -4glox)

Solving
12goL + -5goxL = 12glo + -4glox

Solving for variable 'g'.

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

Add '-12glo' to each side of the equation.
12goL + -12glo + -5goxL = 12glo + -12glo + -4glox

Reorder the terms:
-12glo + 12goL + -5goxL = 12glo + -12glo + -4glox

Combine like terms: 12glo + -12glo = 0
-12glo + 12goL + -5goxL = 0 + -4glox
-12glo + 12goL + -5goxL = -4glox

Add '4glox' to each side of the equation.
-12glo + 12goL + 4glox + -5goxL = -4glox + 4glox

Reorder the terms:
-12glo + 4glox + 12goL + -5goxL = -4glox + 4glox

Combine like terms: -4glox + 4glox = 0
-12glo + 4glox + 12goL + -5goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-12l + 4lx + 12L + -5xL) = 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 '(-12l + 4lx + 12L + -5xL)' equal to zero and attempt to solve: Simplifying -12l + 4lx + 12L + -5xL = 0 Reorder the terms: 12L + -12l + 4lx + -5xL = 0 Solving 12L + -12l + 4lx + -5xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-12L' to each side of the equation. 12L + -12l + 4lx + -12L + -5xL = 0 + -12L Reorder the terms: 12L + -12L + -12l + 4lx + -5xL = 0 + -12L Combine like terms: 12L + -12L = 0 0 + -12l + 4lx + -5xL = 0 + -12L -12l + 4lx + -5xL = 0 + -12L Remove the zero: -12l + 4lx + -5xL = -12L Add '12l' to each side of the equation. -12l + 4lx + 12l + -5xL = -12L + 12l Reorder the terms: -12l + 12l + 4lx + -5xL = -12L + 12l Combine like terms: -12l + 12l = 0 0 + 4lx + -5xL = -12L + 12l 4lx + -5xL = -12L + 12l Add '-4lx' to each side of the equation. 4lx + -4lx + -5xL = -12L + 12l + -4lx Combine like terms: 4lx + -4lx = 0 0 + -5xL = -12L + 12l + -4lx -5xL = -12L + 12l + -4lx Add '5xL' to each side of the equation. -5xL + 5xL = -12L + 12l + -4lx + 5xL Combine like terms: -5xL + 5xL = 0 0 = -12L + 12l + -4lx + 5xL Simplifying 0 = -12L + 12l + -4lx + 5xL 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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