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Simplifying log(7)(12x + 18) + -1log(7)(5) = log(7)(x + 1) + log(7)(3) Reorder the terms: glo * 7(18 + 12x) + -1log(7)(5) = log(7)(x + 1) + log(7)(3) Reorder the terms for easier multiplication: 7glo(18 + 12x) + -1log(7)(5) = log(7)(x + 1) + log(7)(3) (18 * 7glo + 12x * 7glo) + -1log(7)(5) = log(7)(x + 1) + log(7)(3) (126glo + 84glox) + -1log(7)(5) = log(7)(x + 1) + log(7)(3) Reorder the terms for easier multiplication: 126glo + 84glox + -1 * 7 * 5glo = log(7)(x + 1) + log(7)(3) Multiply -1 * 7 126glo + 84glox + -7 * 5glo = log(7)(x + 1) + log(7)(3) Multiply -7 * 5 126glo + 84glox + -35glo = log(7)(x + 1) + log(7)(3) Reorder the terms: 126glo + -35glo + 84glox = log(7)(x + 1) + log(7)(3) Combine like terms: 126glo + -35glo = 91glo 91glo + 84glox = log(7)(x + 1) + log(7)(3) Reorder the terms: 91glo + 84glox = glo * 7(1 + x) + log(7)(3) Reorder the terms for easier multiplication: 91glo + 84glox = 7glo(1 + x) + log(7)(3) 91glo + 84glox = (1 * 7glo + x * 7glo) + log(7)(3) 91glo + 84glox = (7glo + 7glox) + log(7)(3) Reorder the terms for easier multiplication: 91glo + 84glox = 7glo + 7glox + 7 * 3glo Multiply 7 * 3 91glo + 84glox = 7glo + 7glox + 21glo Reorder the terms: 91glo + 84glox = 7glo + 21glo + 7glox Combine like terms: 7glo + 21glo = 28glo 91glo + 84glox = 28glo + 7glox Solving 91glo + 84glox = 28glo + 7glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-28glo' to each side of the equation. 91glo + -28glo + 84glox = 28glo + -28glo + 7glox Combine like terms: 91glo + -28glo = 63glo 63glo + 84glox = 28glo + -28glo + 7glox Combine like terms: 28glo + -28glo = 0 63glo + 84glox = 0 + 7glox 63glo + 84glox = 7glox Add '-7glox' to each side of the equation. 63glo + 84glox + -7glox = 7glox + -7glox Combine like terms: 84glox + -7glox = 77glox 63glo + 77glox = 7glox + -7glox Combine like terms: 7glox + -7glox = 0 63glo + 77glox = 0 Factor out the Greatest Common Factor (GCF), '7glo'. 7glo(9 + 11x) = 0 Ignore the factor 7.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 '(9 + 11x)' equal to zero and attempt to solve: Simplifying 9 + 11x = 0 Solving 9 + 11x = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 11x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 0 + -9 11x = 0 + -9 Combine like terms: 0 + -9 = -9 11x = -9 Add '-11x' to each side of the equation. 11x + -11x = -9 + -11x Combine like terms: 11x + -11x = 0 0 = -9 + -11x Simplifying 0 = -9 + -11x 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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