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Simplifying 2log(2x) + log(3x) = log(96) Remove parenthesis around (2x) 2glo * 2x + log(3x) = log(96) Reorder the terms for easier multiplication: 2 * 2glo * x + log(3x) = log(96) Multiply 2 * 2 4glo * x + log(3x) = log(96) Multiply glo * x 4glox + log(3x) = log(96) Remove parenthesis around (3x) 4glox + glo * 3x = log(96) Reorder the terms for easier multiplication: 4glox + 3glo * x = log(96) Multiply glo * x 4glox + 3glox = log(96) Combine like terms: 4glox + 3glox = 7glox 7glox = log(96) Reorder the terms for easier multiplication: 7glox = 96glo Solving 7glox = 96glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-96glo' to each side of the equation. -96glo + 7glox = 96glo + -96glo Combine like terms: 96glo + -96glo = 0 -96glo + 7glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-96 + 7x) = 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 '(-96 + 7x)' equal to zero and attempt to solve: Simplifying -96 + 7x = 0 Solving -96 + 7x = 0 Move all terms containing g to the left, all other terms to the right. Add '96' to each side of the equation. -96 + 96 + 7x = 0 + 96 Combine like terms: -96 + 96 = 0 0 + 7x = 0 + 96 7x = 0 + 96 Combine like terms: 0 + 96 = 96 7x = 96 Add '-7x' to each side of the equation. 7x + -7x = 96 + -7x Combine like terms: 7x + -7x = 0 0 = 96 + -7x Simplifying 0 = 96 + -7x 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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