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Simplifying log[2](x) = 3(log[2])(x + 2) Reorder the terms for easier multiplication: 2glo * x = 3(log[2])(x + 2) Multiply glo * x 2glox = 3(log[2])(x + 2) Reorder the terms for easier multiplication: 2glox = 3(2glo)(x + 2) Remove parenthesis around (2glo) 2glox = 3 * 2glo(x + 2) Reorder the terms: 2glox = 3 * 2glo(2 + x) Multiply 3 * 2 2glox = 6glo(2 + x) 2glox = (2 * 6glo + x * 6glo) 2glox = (12glo + 6glox) Solving 2glox = 12glo + 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12glo' to each side of the equation. -12glo + 2glox = 12glo + -12glo + 6glox Combine like terms: 12glo + -12glo = 0 -12glo + 2glox = 0 + 6glox -12glo + 2glox = 6glox Add '-6glox' to each side of the equation. -12glo + 2glox + -6glox = 6glox + -6glox Combine like terms: 2glox + -6glox = -4glox -12glo + -4glox = 6glox + -6glox Combine like terms: 6glox + -6glox = 0 -12glo + -4glox = 0 Factor out the Greatest Common Factor (GCF), '-4glo'. -4glo(3 + x) = 0 Ignore the factor -4.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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -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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