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Simplifying xlog(5) + xlog(7) = log(9) Reorder the terms for easier multiplication: 5glox + xlog(7) = log(9) Reorder the terms for easier multiplication: 5glox + 7glox = log(9) Combine like terms: 5glox + 7glox = 12glox 12glox = log(9) Reorder the terms for easier multiplication: 12glox = 9glo Solving 12glox = 9glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glo' to each side of the equation. -9glo + 12glox = 9glo + -9glo Combine like terms: 9glo + -9glo = 0 -9glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-3 + 4x) = 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 '(-3 + 4x)' equal to zero and attempt to solve: Simplifying -3 + 4x = 0 Solving -3 + 4x = 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 + 4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 0 + 3 4x = 0 + 3 Combine like terms: 0 + 3 = 3 4x = 3 Add '-4x' to each side of the equation. 4x + -4x = 3 + -4x Combine like terms: 4x + -4x = 0 0 = 3 + -4x Simplifying 0 = 3 + -4x 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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