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Simplifying log(5x + 1) + log4 = log(19x + 20) Reorder the terms: glo(1 + 5x) + log4 = log(19x + 20) (1 * glo + 5x * glo) + log4 = log(19x + 20) (1glo + 5glox) + log4 = log(19x + 20) Reorder the terms: 1glo + 5glox + g4lo = glo(20 + 19x) 1glo + 5glox + g4lo = (20 * glo + 19x * glo) 1glo + 5glox + g4lo = (20glo + 19glox) Solving 1glo + 5glox + g4lo = 20glo + 19glox Solving for variable 'g'. Reorder the terms: 1glo + -20glo + 5glox + -19glox + g4lo = 20glo + 19glox + -20glo + -19glox Combine like terms: 1glo + -20glo = -19glo -19glo + 5glox + -19glox + g4lo = 20glo + 19glox + -20glo + -19glox Combine like terms: 5glox + -19glox = -14glox -19glo + -14glox + g4lo = 20glo + 19glox + -20glo + -19glox Reorder the terms: -19glo + -14glox + g4lo = 20glo + -20glo + 19glox + -19glox Combine like terms: 20glo + -20glo = 0 -19glo + -14glox + g4lo = 0 + 19glox + -19glox -19glo + -14glox + g4lo = 19glox + -19glox Combine like terms: 19glox + -19glox = 0 -19glo + -14glox + g4lo = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-19 + -14x + g3) = 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 '(-19 + -14x + g3)' equal to zero and attempt to solve: Simplifying -19 + -14x + g3 = 0 Reorder the terms: -19 + g3 + -14x = 0 Solving -19 + g3 + -14x = 0 Move all terms containing g to the left, all other terms to the right. Add '19' to each side of the equation. -19 + g3 + 19 + -14x = 0 + 19 Reorder the terms: -19 + 19 + g3 + -14x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + g3 + -14x = 0 + 19 g3 + -14x = 0 + 19 Combine like terms: 0 + 19 = 19 g3 + -14x = 19 Add '14x' to each side of the equation. g3 + -14x + 14x = 19 + 14x Combine like terms: -14x + 14x = 0 g3 + 0 = 19 + 14x g3 = 19 + 14x Simplifying g3 = 19 + 14x 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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