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Simplifying log(3x + 5) + -1log(x + -5) = log8 Reorder the terms: glo(5 + 3x) + -1log(x + -5) = log8 (5 * glo + 3x * glo) + -1log(x + -5) = log8 (5glo + 3glox) + -1log(x + -5) = log8 Reorder the terms: 5glo + 3glox + -1glo(-5 + x) = log8 5glo + 3glox + (-5 * -1glo + x * -1glo) = log8 5glo + 3glox + (5glo + -1glox) = log8 Reorder the terms: 5glo + 5glo + 3glox + -1glox = log8 Combine like terms: 5glo + 5glo = 10glo 10glo + 3glox + -1glox = log8 Combine like terms: 3glox + -1glox = 2glox 10glo + 2glox = log8 Solving 10glo + 2glox = g8lo Solving for variable 'g'. Combine like terms: g8lo + -1g8lo = 0 10glo + 2glox + -1g8lo = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(10 + 2x + -1g7) = 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 '(10 + 2x + -1g7)' equal to zero and attempt to solve: Simplifying 10 + 2x + -1g7 = 0 Reorder the terms: 10 + -1g7 + 2x = 0 Solving 10 + -1g7 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -1g7 + -10 + 2x = 0 + -10 Reorder the terms: 10 + -10 + -1g7 + 2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1g7 + 2x = 0 + -10 -1g7 + 2x = 0 + -10 Combine like terms: 0 + -10 = -10 -1g7 + 2x = -10 Add '-2x' to each side of the equation. -1g7 + 2x + -2x = -10 + -2x Combine like terms: 2x + -2x = 0 -1g7 + 0 = -10 + -2x -1g7 = -10 + -2x Divide each side by '-1'. g7 = 10 + 2x Simplifying g7 = 10 + 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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