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Simplifying log(7)(x + -5) + log(7)(x + 7) = 2 Reorder the terms: glo * 7(-5 + x) + log(7)(x + 7) = 2 Reorder the terms for easier multiplication: 7glo(-5 + x) + log(7)(x + 7) = 2 (-5 * 7glo + x * 7glo) + log(7)(x + 7) = 2 (-35glo + 7glox) + log(7)(x + 7) = 2 Reorder the terms: -35glo + 7glox + glo * 7(7 + x) = 2 Reorder the terms for easier multiplication: -35glo + 7glox + 7glo(7 + x) = 2 -35glo + 7glox + (7 * 7glo + x * 7glo) = 2 -35glo + 7glox + (49glo + 7glox) = 2 Reorder the terms: -35glo + 49glo + 7glox + 7glox = 2 Combine like terms: -35glo + 49glo = 14glo 14glo + 7glox + 7glox = 2 Combine like terms: 7glox + 7glox = 14glox 14glo + 14glox = 2 Solving 14glo + 14glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 14glo + 14glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 14glo + 14glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 7glo + 7glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 7glo + 7glox)' equal to zero and attempt to solve: Simplifying -1 + 7glo + 7glox = 0 Solving -1 + 7glo + 7glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 7glo + 1 + 7glox = 0 + 1 Reorder the terms: -1 + 1 + 7glo + 7glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7glo + 7glox = 0 + 1 7glo + 7glox = 0 + 1 Combine like terms: 0 + 1 = 1 7glo + 7glox = 1 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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