Log*(x-1)+log*(x+5)=2*log*4

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Solution for Log*(x-1)+log*(x+5)=2*log*4 equation:


Simplifying
Log(x + -1) + log(x + 5) = 2log * 4

Reorder the terms:
goL(-1 + x) + log(x + 5) = 2log * 4
(-1 * goL + x * goL) + log(x + 5) = 2log * 4
(-1goL + goxL) + log(x + 5) = 2log * 4

Reorder the terms:
-1goL + goxL + glo(5 + x) = 2log * 4
-1goL + goxL + (5 * glo + x * glo) = 2log * 4
-1goL + goxL + (5glo + glox) = 2log * 4

Reorder the terms:
5glo + glox + -1goL + goxL = 2log * 4

Reorder the terms for easier multiplication:
5glo + glox + -1goL + goxL = 2 * 4glo

Multiply 2 * 4
5glo + glox + -1goL + goxL = 8glo

Solving
5glo + glox + -1goL + goxL = 8glo

Solving for variable 'g'.

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

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

Reorder the terms:
5glo + -8glo + glox + -1goL + goxL = 8glo + -8glo

Combine like terms: 5glo + -8glo = -3glo
-3glo + glox + -1goL + goxL = 8glo + -8glo

Combine like terms: 8glo + -8glo = 0
-3glo + glox + -1goL + goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-3l + lx + -1L + xL) = 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 '(-3l + lx + -1L + xL)' equal to zero and attempt to solve: Simplifying -3l + lx + -1L + xL = 0 Reorder the terms: -1L + -3l + lx + xL = 0 Solving -1L + -3l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add 'L' to each side of the equation. -1L + -3l + lx + L + xL = 0 + L Reorder the terms: -1L + L + -3l + lx + xL = 0 + L Combine like terms: -1L + L = 0 0 + -3l + lx + xL = 0 + L -3l + lx + xL = 0 + L Remove the zero: -3l + lx + xL = L Add '3l' to each side of the equation. -3l + lx + 3l + xL = L + 3l Reorder the terms: -3l + 3l + lx + xL = L + 3l Combine like terms: -3l + 3l = 0 0 + lx + xL = L + 3l lx + xL = L + 3l Add '-1lx' to each side of the equation. lx + -1lx + xL = L + 3l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = L + 3l + -1lx xL = L + 3l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = L + 3l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = L + 3l + -1lx + -1xL Simplifying 0 = L + 3l + -1lx + -1xL 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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