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Simplifying log(3x2) = 2log(3x) Remove parenthesis around (3x2) glo * 3x2 = 2log(3x) Reorder the terms for easier multiplication: 3glo * x2 = 2log(3x) Multiply glo * x2 3glox2 = 2log(3x) Remove parenthesis around (3x) 3glox2 = 2glo * 3x Reorder the terms for easier multiplication: 3glox2 = 2 * 3glo * x Multiply 2 * 3 3glox2 = 6glo * x Multiply glo * x 3glox2 = 6glox Solving 3glox2 = 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glox' to each side of the equation. -6glox + 3glox2 = 6glox + -6glox Combine like terms: 6glox + -6glox = 0 -6glox + 3glox2 = 0 Factor out the Greatest Common Factor (GCF), '3glox'. 3glox(-2 + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'glox' equal to zero and attempt to solve: Simplifying glox = 0 Solving glox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glox = 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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -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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