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Simplifying log(x + 3) = log(4x + -21) Reorder the terms: glo(3 + x) = log(4x + -21) (3 * glo + x * glo) = log(4x + -21) (3glo + glox) = log(4x + -21) Reorder the terms: 3glo + glox = glo(-21 + 4x) 3glo + glox = (-21 * glo + 4x * glo) 3glo + glox = (-21glo + 4glox) Solving 3glo + glox = -21glo + 4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '21glo' to each side of the equation. 3glo + 21glo + glox = -21glo + 21glo + 4glox Combine like terms: 3glo + 21glo = 24glo 24glo + glox = -21glo + 21glo + 4glox Combine like terms: -21glo + 21glo = 0 24glo + glox = 0 + 4glox 24glo + glox = 4glox Add '-4glox' to each side of the equation. 24glo + glox + -4glox = 4glox + -4glox Combine like terms: glox + -4glox = -3glox 24glo + -3glox = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 24glo + -3glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(8 + -1x) = 0 Ignore the factor 3.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 '(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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