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Simplifying log(x + -3) = log(17 + -4x) Reorder the terms: glo(-3 + x) = log(17 + -4x) (-3 * glo + x * glo) = log(17 + -4x) (-3glo + glox) = log(17 + -4x) -3glo + glox = (17 * glo + -4x * glo) -3glo + glox = (17glo + -4glox) Solving -3glo + glox = 17glo + -4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-17glo' to each side of the equation. -3glo + -17glo + glox = 17glo + -17glo + -4glox Combine like terms: -3glo + -17glo = -20glo -20glo + glox = 17glo + -17glo + -4glox Combine like terms: 17glo + -17glo = 0 -20glo + glox = 0 + -4glox -20glo + glox = -4glox Add '4glox' to each side of the equation. -20glo + glox + 4glox = -4glox + 4glox Combine like terms: glox + 4glox = 5glox -20glo + 5glox = -4glox + 4glox Combine like terms: -4glox + 4glox = 0 -20glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-4 + x) = 0 Ignore the factor 5.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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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