log(x)+log(x-5)=log(36)

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Solution for log(x)+log(x-5)=log(36) equation:


Simplifying
log(x) + log(x + -5) = log(36)

Multiply glo * x
glox + log(x + -5) = log(36)

Reorder the terms:
glox + glo(-5 + x) = log(36)
glox + (-5 * glo + x * glo) = log(36)
glox + (-5glo + glox) = log(36)

Reorder the terms:
-5glo + glox + glox = log(36)

Combine like terms: glox + glox = 2glox
-5glo + 2glox = log(36)

Reorder the terms for easier multiplication:
-5glo + 2glox = 36glo

Solving
-5glo + 2glox = 36glo

Solving for variable 'g'.

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

Add '-36glo' to each side of the equation.
-5glo + -36glo + 2glox = 36glo + -36glo

Combine like terms: -5glo + -36glo = -41glo
-41glo + 2glox = 36glo + -36glo

Combine like terms: 36glo + -36glo = 0
-41glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-41 + 2x) = 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 '(-41 + 2x)' equal to zero and attempt to solve: Simplifying -41 + 2x = 0 Solving -41 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 2x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 2x = 0 + 41 2x = 0 + 41 Combine like terms: 0 + 41 = 41 2x = 41 Add '-2x' to each side of the equation. 2x + -2x = 41 + -2x Combine like terms: 2x + -2x = 0 0 = 41 + -2x Simplifying 0 = 41 + -2x 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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