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Simplifying log(69) = log(27x) Reorder the terms for easier multiplication: 69glo = log(27x) Remove parenthesis around (27x) 69glo = glo * 27x Reorder the terms for easier multiplication: 69glo = 27glo * x Multiply glo * x 69glo = 27glox Solving 69glo = 27glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-27glox' to each side of the equation. 69glo + -27glox = 27glox + -27glox Combine like terms: 27glox + -27glox = 0 69glo + -27glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(23 + -9x) = 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 '(23 + -9x)' equal to zero and attempt to solve: Simplifying 23 + -9x = 0 Solving 23 + -9x = 0 Move all terms containing g to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -9x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -9x = 0 + -23 -9x = 0 + -23 Combine like terms: 0 + -23 = -23 -9x = -23 Add '9x' to each side of the equation. -9x + 9x = -23 + 9x Combine like terms: -9x + 9x = 0 0 = -23 + 9x Simplifying 0 = -23 + 9x 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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