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Simplifying log(10 + 4) + -1logx = log(x + 2) Combine like terms: 10 + 4 = 14 glo(14) + -1logx = log(x + 2) Reorder the terms for easier multiplication: 14glo + -1logx = log(x + 2) Reorder the terms: 14glo + -1glox = glo(2 + x) 14glo + -1glox = (2 * glo + x * glo) 14glo + -1glox = (2glo + glox) Solving 14glo + -1glox = 2glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glo' to each side of the equation. 14glo + -2glo + -1glox = 2glo + -2glo + glox Combine like terms: 14glo + -2glo = 12glo 12glo + -1glox = 2glo + -2glo + glox Combine like terms: 2glo + -2glo = 0 12glo + -1glox = 0 + glox 12glo + -1glox = glox Add '-1glox' to each side of the equation. 12glo + -1glox + -1glox = glox + -1glox Combine like terms: -1glox + -1glox = -2glox 12glo + -2glox = glox + -1glox Combine like terms: glox + -1glox = 0 12glo + -2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(6 + -1x) = 0 Ignore the factor 2.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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Add 'x' to each side of the equation. -1x + x = -6 + x Combine like terms: -1x + x = 0 0 = -6 + x Simplifying 0 = -6 + 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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