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Simplifying logx + log(x + -14) = log(17x) Reorder the terms: glox + glo(-14 + x) = log(17x) glox + (-14 * glo + x * glo) = log(17x) glox + (-14glo + glox) = log(17x) Reorder the terms: -14glo + glox + glox = log(17x) Combine like terms: glox + glox = 2glox -14glo + 2glox = log(17x) Remove parenthesis around (17x) -14glo + 2glox = glo * 17x Reorder the terms for easier multiplication: -14glo + 2glox = 17glo * x Multiply glo * x -14glo + 2glox = 17glox Solving -14glo + 2glox = 17glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-17glox' to each side of the equation. -14glo + 2glox + -17glox = 17glox + -17glox Combine like terms: 2glox + -17glox = -15glox -14glo + -15glox = 17glox + -17glox Combine like terms: 17glox + -17glox = 0 -14glo + -15glox = 0 Factor out the Greatest Common Factor (GCF), '-1glo'. -1glo(14 + 15x) = 0 Ignore the factor -1.Subproblem 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 '(14 + 15x)' equal to zero and attempt to solve: Simplifying 14 + 15x = 0 Solving 14 + 15x = 0 Move all terms containing g to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 15x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = 0 + -14 15x = 0 + -14 Combine like terms: 0 + -14 = -14 15x = -14 Add '-15x' to each side of the equation. 15x + -15x = -14 + -15x Combine like terms: 15x + -15x = 0 0 = -14 + -15x Simplifying 0 = -14 + -15x 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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