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Simplifying (6x + 11) * log(4) = (x + -1) * log(16) Reorder the terms: (11 + 6x) * log(4) = (x + -1) * log(16) Reorder the terms for easier multiplication: 4glo(11 + 6x) = (x + -1) * log(16) (11 * 4glo + 6x * 4glo) = (x + -1) * log(16) (44glo + 24glox) = (x + -1) * log(16) Reorder the terms: 44glo + 24glox = (-1 + x) * log(16) Reorder the terms for easier multiplication: 44glo + 24glox = 16glo(-1 + x) 44glo + 24glox = (-1 * 16glo + x * 16glo) 44glo + 24glox = (-16glo + 16glox) Solving 44glo + 24glox = -16glo + 16glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '16glo' to each side of the equation. 44glo + 16glo + 24glox = -16glo + 16glo + 16glox Combine like terms: 44glo + 16glo = 60glo 60glo + 24glox = -16glo + 16glo + 16glox Combine like terms: -16glo + 16glo = 0 60glo + 24glox = 0 + 16glox 60glo + 24glox = 16glox Add '-16glox' to each side of the equation. 60glo + 24glox + -16glox = 16glox + -16glox Combine like terms: 24glox + -16glox = 8glox 60glo + 8glox = 16glox + -16glox Combine like terms: 16glox + -16glox = 0 60glo + 8glox = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(15 + 2x) = 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 '(15 + 2x)' equal to zero and attempt to solve: Simplifying 15 + 2x = 0 Solving 15 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 0 + -15 2x = 0 + -15 Combine like terms: 0 + -15 = -15 2x = -15 Add '-2x' to each side of the equation. 2x + -2x = -15 + -2x Combine like terms: 2x + -2x = 0 0 = -15 + -2x Simplifying 0 = -15 + -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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