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Simplifying log(x + 7) = log(13) Reorder the terms: glo(7 + x) = log(13) (7 * glo + x * glo) = log(13) (7glo + glox) = log(13) Reorder the terms for easier multiplication: 7glo + glox = 13glo Solving 7glo + glox = 13glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-13glo' to each side of the equation. 7glo + -13glo + glox = 13glo + -13glo Combine like terms: 7glo + -13glo = -6glo -6glo + glox = 13glo + -13glo Combine like terms: 13glo + -13glo = 0 -6glo + glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-6 + 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -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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