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Simplifying log(8) * x + log(8)(x + 6) = log(8)(5x + 12) Reorder the terms for easier multiplication: 8glo * x + log(8)(x + 6) = log(8)(5x + 12) Multiply glo * x 8glox + log(8)(x + 6) = log(8)(5x + 12) Reorder the terms: 8glox + glo * 8(6 + x) = log(8)(5x + 12) Reorder the terms for easier multiplication: 8glox + 8glo(6 + x) = log(8)(5x + 12) 8glox + (6 * 8glo + x * 8glo) = log(8)(5x + 12) 8glox + (48glo + 8glox) = log(8)(5x + 12) Reorder the terms: 48glo + 8glox + 8glox = log(8)(5x + 12) Combine like terms: 8glox + 8glox = 16glox 48glo + 16glox = log(8)(5x + 12) Reorder the terms: 48glo + 16glox = glo * 8(12 + 5x) Reorder the terms for easier multiplication: 48glo + 16glox = 8glo(12 + 5x) 48glo + 16glox = (12 * 8glo + 5x * 8glo) 48glo + 16glox = (96glo + 40glox) Solving 48glo + 16glox = 96glo + 40glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-96glo' to each side of the equation. 48glo + -96glo + 16glox = 96glo + -96glo + 40glox Combine like terms: 48glo + -96glo = -48glo -48glo + 16glox = 96glo + -96glo + 40glox Combine like terms: 96glo + -96glo = 0 -48glo + 16glox = 0 + 40glox -48glo + 16glox = 40glox Add '-40glox' to each side of the equation. -48glo + 16glox + -40glox = 40glox + -40glox Combine like terms: 16glox + -40glox = -24glox -48glo + -24glox = 40glox + -40glox Combine like terms: 40glox + -40glox = 0 -48glo + -24glox = 0 Factor out the Greatest Common Factor (GCF), '-24glo'. -24glo(2 + x) = 0 Ignore the factor -24.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 '(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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