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Simplifying log(x + 9) = log(2x + -7) Reorder the terms: glo(9 + x) = log(2x + -7) (9 * glo + x * glo) = log(2x + -7) (9glo + glox) = log(2x + -7) Reorder the terms: 9glo + glox = glo(-7 + 2x) 9glo + glox = (-7 * glo + 2x * glo) 9glo + glox = (-7glo + 2glox) Solving 9glo + glox = -7glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '7glo' to each side of the equation. 9glo + 7glo + glox = -7glo + 7glo + 2glox Combine like terms: 9glo + 7glo = 16glo 16glo + glox = -7glo + 7glo + 2glox Combine like terms: -7glo + 7glo = 0 16glo + glox = 0 + 2glox 16glo + glox = 2glox Add '-2glox' to each side of the equation. 16glo + glox + -2glox = 2glox + -2glox Combine like terms: glox + -2glox = -1glox 16glo + -1glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 16glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(16 + -1x) = 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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Add 'x' to each side of the equation. -1x + x = -16 + x Combine like terms: -1x + x = 0 0 = -16 + x Simplifying 0 = -16 + x 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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