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Simplifying log(9) * 5 + log(9)(3x + 14) = log(9) * 2x Reorder the terms for easier multiplication: 9 * 5glo + log(9)(3x + 14) = log(9) * 2x Multiply 9 * 5 45glo + log(9)(3x + 14) = log(9) * 2x Reorder the terms: 45glo + glo * 9(14 + 3x) = log(9) * 2x Reorder the terms for easier multiplication: 45glo + 9glo(14 + 3x) = log(9) * 2x 45glo + (14 * 9glo + 3x * 9glo) = log(9) * 2x 45glo + (126glo + 27glox) = log(9) * 2x Combine like terms: 45glo + 126glo = 171glo 171glo + 27glox = log(9) * 2x Reorder the terms for easier multiplication: 171glo + 27glox = 9 * 2glo * x Multiply 9 * 2 171glo + 27glox = 18glo * x Multiply glo * x 171glo + 27glox = 18glox Solving 171glo + 27glox = 18glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-18glox' to each side of the equation. 171glo + 27glox + -18glox = 18glox + -18glox Combine like terms: 27glox + -18glox = 9glox 171glo + 9glox = 18glox + -18glox Combine like terms: 18glox + -18glox = 0 171glo + 9glox = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(19 + x) = 0 Ignore the factor 9.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 '(19 + x)' equal to zero and attempt to solve: Simplifying 19 + x = 0 Solving 19 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x = 0 + -19 x = 0 + -19 Combine like terms: 0 + -19 = -19 x = -19 Add '-1x' to each side of the equation. x + -1x = -19 + -1x Combine like terms: x + -1x = 0 0 = -19 + -1x Simplifying 0 = -19 + -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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