log(x+2)+log(x-1)=log(28)

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Solution for log(x+2)+log(x-1)=log(28) equation:


Simplifying
log(x + 2) + log(x + -1) = log(28)

Reorder the terms:
glo(2 + x) + log(x + -1) = log(28)
(2 * glo + x * glo) + log(x + -1) = log(28)
(2glo + glox) + log(x + -1) = log(28)

Reorder the terms:
2glo + glox + glo(-1 + x) = log(28)
2glo + glox + (-1 * glo + x * glo) = log(28)
2glo + glox + (-1glo + glox) = log(28)

Reorder the terms:
2glo + -1glo + glox + glox = log(28)

Combine like terms: 2glo + -1glo = 1glo
1glo + glox + glox = log(28)

Combine like terms: glox + glox = 2glox
1glo + 2glox = log(28)

Reorder the terms for easier multiplication:
1glo + 2glox = 28glo

Solving
1glo + 2glox = 28glo

Solving for variable 'g'.

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

Add '-28glo' to each side of the equation.
1glo + -28glo + 2glox = 28glo + -28glo

Combine like terms: 1glo + -28glo = -27glo
-27glo + 2glox = 28glo + -28glo

Combine like terms: 28glo + -28glo = 0
-27glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-27 + 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 '(-27 + 2x)' equal to zero and attempt to solve: Simplifying -27 + 2x = 0 Solving -27 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 2x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = 0 + 27 2x = 0 + 27 Combine like terms: 0 + 27 = 27 2x = 27 Add '-2x' to each side of the equation. 2x + -2x = 27 + -2x Combine like terms: 2x + -2x = 0 0 = 27 + -2x Simplifying 0 = 27 + -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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