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Simplifying log(33 + -3x3) = 2log(5 + -1x) (33 * glo + -3x3 * glo) = 2log(5 + -1x) (33glo + -3glox3) = 2log(5 + -1x) 33glo + -3glox3 = (5 * 2glo + -1x * 2glo) 33glo + -3glox3 = (10glo + -2glox) Solving 33glo + -3glox3 = 10glo + -2glox 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. 33glo + -10glo + -3glox3 = 10glo + -10glo + -2glox Combine like terms: 33glo + -10glo = 23glo 23glo + -3glox3 = 10glo + -10glo + -2glox Combine like terms: 10glo + -10glo = 0 23glo + -3glox3 = 0 + -2glox 23glo + -3glox3 = -2glox Add '2glox' to each side of the equation. 23glo + 2glox + -3glox3 = -2glox + 2glox Combine like terms: -2glox + 2glox = 0 23glo + 2glox + -3glox3 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(23 + 2x + -3x3) = 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 '(23 + 2x + -3x3)' equal to zero and attempt to solve: Simplifying 23 + 2x + -3x3 = 0 Solving 23 + 2x + -3x3 = 0 Move all terms containing g to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + 2x + -23 + -3x3 = 0 + -23 Reorder the terms: 23 + -23 + 2x + -3x3 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2x + -3x3 = 0 + -23 2x + -3x3 = 0 + -23 Combine like terms: 0 + -23 = -23 2x + -3x3 = -23 Add '-2x' to each side of the equation. 2x + -2x + -3x3 = -23 + -2x Combine like terms: 2x + -2x = 0 0 + -3x3 = -23 + -2x -3x3 = -23 + -2x Add '3x3' to each side of the equation. -3x3 + 3x3 = -23 + -2x + 3x3 Combine like terms: -3x3 + 3x3 = 0 0 = -23 + -2x + 3x3 Simplifying 0 = -23 + -2x + 3x3 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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