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Simplifying 2log[3](x + 2) = log[3](9 + 2) Reorder the terms: 2glo * 3(2 + x) = log[3](9 + 2) Reorder the terms for easier multiplication: 2 * 3glo(2 + x) = log[3](9 + 2) Multiply 2 * 3 6glo(2 + x) = log[3](9 + 2) (2 * 6glo + x * 6glo) = log[3](9 + 2) (12glo + 6glox) = log[3](9 + 2) Combine like terms: 9 + 2 = 11 12glo + 6glox = glo * 3(11) Reorder the terms for easier multiplication: 12glo + 6glox = 3 * 11glo Multiply 3 * 11 12glo + 6glox = 33glo Solving 12glo + 6glox = 33glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-33glo' to each side of the equation. 12glo + -33glo + 6glox = 33glo + -33glo Combine like terms: 12glo + -33glo = -21glo -21glo + 6glox = 33glo + -33glo Combine like terms: 33glo + -33glo = 0 -21glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-7 + 2x) = 0 Ignore the factor 3.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 '(-7 + 2x)' equal to zero and attempt to solve: Simplifying -7 + 2x = 0 Solving -7 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 0 + 7 2x = 0 + 7 Combine like terms: 0 + 7 = 7 2x = 7 Add '-2x' to each side of the equation. 2x + -2x = 7 + -2x Combine like terms: 2x + -2x = 0 0 = 7 + -2x Simplifying 0 = 7 + -2x 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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