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Simplifying log(x) + log(x + 4) = 8 Multiply glo * x glox + log(x + 4) = 8 Reorder the terms: glox + glo(4 + x) = 8 glox + (4 * glo + x * glo) = 8 glox + (4glo + glox) = 8 Reorder the terms: 4glo + glox + glox = 8 Combine like terms: glox + glox = 2glox 4glo + 2glox = 8 Solving 4glo + 2glox = 8 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -8 + 4glo + 2glox = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 4glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 2glo + glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 2glo + glox)' equal to zero and attempt to solve: Simplifying -4 + 2glo + glox = 0 Solving -4 + 2glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2glo + 4 + glox = 0 + 4 Reorder the terms: -4 + 4 + 2glo + glox = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2glo + glox = 0 + 4 2glo + glox = 0 + 4 Combine like terms: 0 + 4 = 4 2glo + glox = 4 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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