Log(10-4x)=log(10-4x)

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Solution for Log(10-4x)=log(10-4x) equation:


Simplifying
Log(10 + -4x) = log(10 + -4x)
(10 * goL + -4x * goL) = log(10 + -4x)
(10goL + -4goxL) = log(10 + -4x)
10goL + -4goxL = (10 * glo + -4x * glo)
10goL + -4goxL = (10glo + -4glox)

Solving
10goL + -4goxL = 10glo + -4glox

Solving for variable 'g'.

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

Add '-10glo' to each side of the equation.
10goL + -10glo + -4goxL = 10glo + -10glo + -4glox

Reorder the terms:
-10glo + 10goL + -4goxL = 10glo + -10glo + -4glox

Combine like terms: 10glo + -10glo = 0
-10glo + 10goL + -4goxL = 0 + -4glox
-10glo + 10goL + -4goxL = -4glox

Add '4glox' to each side of the equation.
-10glo + 10goL + 4glox + -4goxL = -4glox + 4glox

Reorder the terms:
-10glo + 4glox + 10goL + -4goxL = -4glox + 4glox

Combine like terms: -4glox + 4glox = 0
-10glo + 4glox + 10goL + -4goxL = 0

Factor out the Greatest Common Factor (GCF), '2go'.
2go(-5l + 2lx + 5L + -2xL) = 0

Ignore the factor 2.

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 '(-5l + 2lx + 5L + -2xL)' equal to zero and attempt to solve: Simplifying -5l + 2lx + 5L + -2xL = 0 Reorder the terms: 5L + -5l + 2lx + -2xL = 0 Solving 5L + -5l + 2lx + -2xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + -5l + 2lx + -5L + -2xL = 0 + -5L Reorder the terms: 5L + -5L + -5l + 2lx + -2xL = 0 + -5L Combine like terms: 5L + -5L = 0 0 + -5l + 2lx + -2xL = 0 + -5L -5l + 2lx + -2xL = 0 + -5L Remove the zero: -5l + 2lx + -2xL = -5L Add '5l' to each side of the equation. -5l + 2lx + 5l + -2xL = -5L + 5l Reorder the terms: -5l + 5l + 2lx + -2xL = -5L + 5l Combine like terms: -5l + 5l = 0 0 + 2lx + -2xL = -5L + 5l 2lx + -2xL = -5L + 5l Add '-2lx' to each side of the equation. 2lx + -2lx + -2xL = -5L + 5l + -2lx Combine like terms: 2lx + -2lx = 0 0 + -2xL = -5L + 5l + -2lx -2xL = -5L + 5l + -2lx Add '2xL' to each side of the equation. -2xL + 2xL = -5L + 5l + -2lx + 2xL Combine like terms: -2xL + 2xL = 0 0 = -5L + 5l + -2lx + 2xL Simplifying 0 = -5L + 5l + -2lx + 2xL 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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