Log(x-3)+log(x-4)-log(x+5)=0

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Solution for Log(x-3)+log(x-4)-log(x+5)=0 equation:


Simplifying
Log(x + -3) + log(x + -4) + -1log(x + 5) = 0

Reorder the terms:
goL(-3 + x) + log(x + -4) + -1log(x + 5) = 0
(-3 * goL + x * goL) + log(x + -4) + -1log(x + 5) = 0
(-3goL + goxL) + log(x + -4) + -1log(x + 5) = 0

Reorder the terms:
-3goL + goxL + glo(-4 + x) + -1log(x + 5) = 0
-3goL + goxL + (-4 * glo + x * glo) + -1log(x + 5) = 0
-3goL + goxL + (-4glo + glox) + -1log(x + 5) = 0

Reorder the terms:
-3goL + goxL + -4glo + glox + -1glo(5 + x) = 0
-3goL + goxL + -4glo + glox + (5 * -1glo + x * -1glo) = 0
-3goL + goxL + -4glo + glox + (-5glo + -1glox) = 0

Reorder the terms:
-4glo + -5glo + glox + -1glox + -3goL + goxL = 0

Combine like terms: -4glo + -5glo = -9glo
-9glo + glox + -1glox + -3goL + goxL = 0

Combine like terms: glox + -1glox = 0
-9glo + 0 + -3goL + goxL = 0
-9glo + -3goL + goxL = 0

Solving
-9glo + -3goL + goxL = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'go'.
go(-9l + -3L + 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 '(-9l + -3L + xL)' equal to zero and attempt to solve: Simplifying -9l + -3L + xL = 0 Reorder the terms: -3L + -9l + xL = 0 Solving -3L + -9l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '3L' to each side of the equation. -3L + -9l + 3L + xL = 0 + 3L Reorder the terms: -3L + 3L + -9l + xL = 0 + 3L Combine like terms: -3L + 3L = 0 0 + -9l + xL = 0 + 3L -9l + xL = 0 + 3L Remove the zero: -9l + xL = 3L Add '9l' to each side of the equation. -9l + 9l + xL = 3L + 9l Combine like terms: -9l + 9l = 0 0 + xL = 3L + 9l xL = 3L + 9l Add '-1xL' to each side of the equation. xL + -1xL = 3L + 9l + -1xL Combine like terms: xL + -1xL = 0 0 = 3L + 9l + -1xL Simplifying 0 = 3L + 9l + -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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