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Simplifying log(2x + -5) = log(x + 3) Reorder the terms: glo(-5 + 2x) = log(x + 3) (-5 * glo + 2x * glo) = log(x + 3) (-5glo + 2glox) = log(x + 3) Reorder the terms: -5glo + 2glox = glo(3 + x) -5glo + 2glox = (3 * glo + x * glo) -5glo + 2glox = (3glo + glox) Solving -5glo + 2glox = 3glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glo' to each side of the equation. -5glo + -3glo + 2glox = 3glo + -3glo + glox Combine like terms: -5glo + -3glo = -8glo -8glo + 2glox = 3glo + -3glo + glox Combine like terms: 3glo + -3glo = 0 -8glo + 2glox = 0 + glox -8glo + 2glox = glox Add '-1glox' to each side of the equation. -8glo + 2glox + -1glox = glox + -1glox Combine like terms: 2glox + -1glox = 1glox -8glo + 1glox = glox + -1glox Combine like terms: glox + -1glox = 0 -8glo + 1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-8 + x) = 0Subproblem 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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Add '-1x' to each side of the equation. x + -1x = 8 + -1x Combine like terms: x + -1x = 0 0 = 8 + -1x Simplifying 0 = 8 + -1x 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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