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Simplifying log(6x + -1) + -1log(x + 4) = logx Reorder the terms: glo(-1 + 6x) + -1log(x + 4) = logx (-1 * glo + 6x * glo) + -1log(x + 4) = logx (-1glo + 6glox) + -1log(x + 4) = logx Reorder the terms: -1glo + 6glox + -1glo(4 + x) = logx -1glo + 6glox + (4 * -1glo + x * -1glo) = logx -1glo + 6glox + (-4glo + -1glox) = logx Reorder the terms: -1glo + -4glo + 6glox + -1glox = logx Combine like terms: -1glo + -4glo = -5glo -5glo + 6glox + -1glox = logx Combine like terms: 6glox + -1glox = 5glox -5glo + 5glox = logx Solving -5glo + 5glox = glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox' to each side of the equation. -5glo + 5glox + -1glox = glox + -1glox Combine like terms: 5glox + -1glox = 4glox -5glo + 4glox = glox + -1glox Combine like terms: glox + -1glox = 0 -5glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-5 + 4x) = 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 '(-5 + 4x)' equal to zero and attempt to solve: Simplifying -5 + 4x = 0 Solving -5 + 4x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 0 + 5 4x = 0 + 5 Combine like terms: 0 + 5 = 5 4x = 5 Add '-4x' to each side of the equation. 4x + -4x = 5 + -4x Combine like terms: 4x + -4x = 0 0 = 5 + -4x Simplifying 0 = 5 + -4x 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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