log(x)+log(x^2-25)-log(9)-log(x+5)=

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Solution for log(x)+log(x^2-25)-log(9)-log(x+5)= equation:


Simplifying
log(x) + log(x2 + -25) + -1log(9) + -1log(x + 5) = 0

Multiply glo * x
glox + log(x2 + -25) + -1log(9) + -1log(x + 5) = 0

Reorder the terms:
glox + glo(-25 + x2) + -1log(9) + -1log(x + 5) = 0
glox + (-25 * glo + x2 * glo) + -1log(9) + -1log(x + 5) = 0
glox + (-25glo + glox2) + -1log(9) + -1log(x + 5) = 0

Reorder the terms for easier multiplication:
glox + -25glo + glox2 + -1 * 9glo + -1log(x + 5) = 0

Multiply -1 * 9
glox + -25glo + glox2 + -9glo + -1log(x + 5) = 0

Reorder the terms:
glox + -25glo + glox2 + -9glo + -1glo(5 + x) = 0
glox + -25glo + glox2 + -9glo + (5 * -1glo + x * -1glo) = 0
glox + -25glo + glox2 + -9glo + (-5glo + -1glox) = 0

Reorder the terms:
-25glo + -9glo + -5glo + glox + -1glox + glox2 = 0

Combine like terms: -25glo + -9glo = -34glo
-34glo + -5glo + glox + -1glox + glox2 = 0

Combine like terms: -34glo + -5glo = -39glo
-39glo + glox + -1glox + glox2 = 0

Combine like terms: glox + -1glox = 0
-39glo + 0 + glox2 = 0
-39glo + glox2 = 0

Solving
-39glo + 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(-39 + 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 '(-39 + x2)' equal to zero and attempt to solve: Simplifying -39 + x2 = 0 Solving -39 + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + x2 = 0 + 39 Combine like terms: -39 + 39 = 0 0 + x2 = 0 + 39 x2 = 0 + 39 Combine like terms: 0 + 39 = 39 x2 = 39 Add '-1x2' to each side of the equation. x2 + -1x2 = 39 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 39 + -1x2 Simplifying 0 = 39 + -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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