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Simplifying log[3](7x + -9) = log[3](2x2) Reorder the terms: glo * 3(-9 + 7x) = log[3](2x2) Reorder the terms for easier multiplication: 3glo(-9 + 7x) = log[3](2x2) (-9 * 3glo + 7x * 3glo) = log[3](2x2) (-27glo + 21glox) = log[3](2x2) Remove parenthesis around (2x2) -27glo + 21glox = glo * 3 * 2x2 Reorder the terms for easier multiplication: -27glo + 21glox = 3 * 2glo * x2 Multiply 3 * 2 -27glo + 21glox = 6glo * x2 Multiply glo * x2 -27glo + 21glox = 6glox2 Solving -27glo + 21glox = 6glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glox2' to each side of the equation. -27glo + 21glox + -6glox2 = 6glox2 + -6glox2 Combine like terms: 6glox2 + -6glox2 = 0 -27glo + 21glox + -6glox2 = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-9 + 7x + -2x2) = 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 '(-9 + 7x + -2x2)' equal to zero and attempt to solve: Simplifying -9 + 7x + -2x2 = 0 Solving -9 + 7x + -2x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 7x + 9 + -2x2 = 0 + 9 Reorder the terms: -9 + 9 + 7x + -2x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7x + -2x2 = 0 + 9 7x + -2x2 = 0 + 9 Combine like terms: 0 + 9 = 9 7x + -2x2 = 9 Add '-7x' to each side of the equation. 7x + -7x + -2x2 = 9 + -7x Combine like terms: 7x + -7x = 0 0 + -2x2 = 9 + -7x -2x2 = 9 + -7x Add '2x2' to each side of the equation. -2x2 + 2x2 = 9 + -7x + 2x2 Combine like terms: -2x2 + 2x2 = 0 0 = 9 + -7x + 2x2 Simplifying 0 = 9 + -7x + 2x2 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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