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Simplifying log(19) = log(5) + log(x + 6) Reorder the terms for easier multiplication: 19glo = log(5) + log(x + 6) Reorder the terms for easier multiplication: 19glo = 5glo + log(x + 6) Reorder the terms: 19glo = 5glo + glo(6 + x) 19glo = 5glo + (6 * glo + x * glo) 19glo = 5glo + (6glo + glox) Combine like terms: 5glo + 6glo = 11glo 19glo = 11glo + glox Solving 19glo = 11glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-11glo' to each side of the equation. 19glo + -11glo = 11glo + -11glo + glox Combine like terms: 19glo + -11glo = 8glo 8glo = 11glo + -11glo + glox Combine like terms: 11glo + -11glo = 0 8glo = 0 + glox 8glo = glox Add '-1glox' to each side of the equation. 8glo + -1glox = glox + -1glox Combine like terms: glox + -1glox = 0 8glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(8 + -1x) = 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Add 'x' to each side of the equation. -1x + x = -8 + x Combine like terms: -1x + x = 0 0 = -8 + x Simplifying 0 = -8 + x 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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