log(x^2-9)-log(x-5)=

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Solution for log(x^2-9)-log(x-5)= equation:


Simplifying
log(x2 + -9) + -1log(x + -5) = 0

Reorder the terms:
glo(-9 + x2) + -1log(x + -5) = 0
(-9 * glo + x2 * glo) + -1log(x + -5) = 0
(-9glo + glox2) + -1log(x + -5) = 0

Reorder the terms:
-9glo + glox2 + -1glo(-5 + x) = 0
-9glo + glox2 + (-5 * -1glo + x * -1glo) = 0
-9glo + glox2 + (5glo + -1glox) = 0

Reorder the terms:
-9glo + 5glo + -1glox + glox2 = 0

Combine like terms: -9glo + 5glo = -4glo
-4glo + -1glox + glox2 = 0

Solving
-4glo + -1glox + glox2 = 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), 'glo'.
glo(-4 + -1x + x2) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-4 + -1x + x2)' equal to zero and attempt to solve: Simplifying -4 + -1x + x2 = 0 Solving -4 + -1x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1x + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + -1x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x + x2 = 0 + 4 -1x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1x + x2 = 4 Add 'x' to each side of the equation. -1x + x + x2 = 4 + x Combine like terms: -1x + x = 0 0 + x2 = 4 + x x2 = 4 + x Add '-1x2' to each side of the equation. x2 + -1x2 = 4 + x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 4 + x + -1x2 Simplifying 0 = 4 + x + -1x2 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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