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Simplifying (3x) * log(5) = (x + 2) * log(11) Remove parenthesis around (3x) 3x * log(5) = (x + 2) * log(11) Reorder the terms for easier multiplication: 3 * 5x * glo = (x + 2) * log(11) Multiply 3 * 5 15x * glo = (x + 2) * log(11) Multiply x * glo 15glox = (x + 2) * log(11) Reorder the terms: 15glox = (2 + x) * log(11) Reorder the terms for easier multiplication: 15glox = 11glo(2 + x) 15glox = (2 * 11glo + x * 11glo) 15glox = (22glo + 11glox) Solving 15glox = 22glo + 11glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-22glo' to each side of the equation. -22glo + 15glox = 22glo + -22glo + 11glox Combine like terms: 22glo + -22glo = 0 -22glo + 15glox = 0 + 11glox -22glo + 15glox = 11glox Add '-11glox' to each side of the equation. -22glo + 15glox + -11glox = 11glox + -11glox Combine like terms: 15glox + -11glox = 4glox -22glo + 4glox = 11glox + -11glox Combine like terms: 11glox + -11glox = 0 -22glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-11 + 2x) = 0 Ignore the factor 2.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 '(-11 + 2x)' equal to zero and attempt to solve: Simplifying -11 + 2x = 0 Solving -11 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 0 + 11 2x = 0 + 11 Combine like terms: 0 + 11 = 11 2x = 11 Add '-2x' to each side of the equation. 2x + -2x = 11 + -2x Combine like terms: 2x + -2x = 0 0 = 11 + -2x Simplifying 0 = 11 + -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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