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Simplifying log(5x + -6) = log(x2) Reorder the terms: glo(-6 + 5x) = log(x2) (-6 * glo + 5x * glo) = log(x2) (-6glo + 5glox) = log(x2) Multiply glo * x2 -6glo + 5glox = glox2 Solving -6glo + 5glox = glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox2' to each side of the equation. -6glo + 5glox + -1glox2 = glox2 + -1glox2 Combine like terms: glox2 + -1glox2 = 0 -6glo + 5glox + -1glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-6 + 5x + -1x2) = 0 Factor a trinomial. glo((-3 + x)(2 + -1x)) = 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 '(-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.Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x 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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