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Simplifying log(3x + 4) = log(x + -10) Reorder the terms: glo(4 + 3x) = log(x + -10) (4 * glo + 3x * glo) = log(x + -10) (4glo + 3glox) = log(x + -10) Reorder the terms: 4glo + 3glox = glo(-10 + x) 4glo + 3glox = (-10 * glo + x * glo) 4glo + 3glox = (-10glo + glox) Solving 4glo + 3glox = -10glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '10glo' to each side of the equation. 4glo + 10glo + 3glox = -10glo + 10glo + glox Combine like terms: 4glo + 10glo = 14glo 14glo + 3glox = -10glo + 10glo + glox Combine like terms: -10glo + 10glo = 0 14glo + 3glox = 0 + glox 14glo + 3glox = glox Add '-1glox' to each side of the equation. 14glo + 3glox + -1glox = glox + -1glox Combine like terms: 3glox + -1glox = 2glox 14glo + 2glox = glox + -1glox Combine like terms: glox + -1glox = 0 14glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(7 + x) = 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Add '-1x' to each side of the equation. x + -1x = -7 + -1x Combine like terms: x + -1x = 0 0 = -7 + -1x Simplifying 0 = -7 + -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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