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Simplifying log(x + 7) + log(5) = log(14) Reorder the terms: glo(7 + x) + log(5) = log(14) (7 * glo + x * glo) + log(5) = log(14) (7glo + glox) + log(5) = log(14) Reorder the terms for easier multiplication: 7glo + glox + 5glo = log(14) Reorder the terms: 7glo + 5glo + glox = log(14) Combine like terms: 7glo + 5glo = 12glo 12glo + glox = log(14) Reorder the terms for easier multiplication: 12glo + glox = 14glo Solving 12glo + glox = 14glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14glo' to each side of the equation. 12glo + -14glo + glox = 14glo + -14glo Combine like terms: 12glo + -14glo = -2glo -2glo + glox = 14glo + -14glo Combine like terms: 14glo + -14glo = 0 -2glo + glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-2 + 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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -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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