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Simplifying log[3] * 9 + log[3] * x = 15log[x] * 3 Reorder the terms for easier multiplication: 3 * 9glo + log[3] * x = 15log[x] * 3 Multiply 3 * 9 27glo + log[3] * x = 15log[x] * 3 Reorder the terms for easier multiplication: 27glo + 3glo * x = 15log[x] * 3 Multiply glo * x 27glo + 3glox = 15log[x] * 3 Reorder the terms for easier multiplication: 27glo + 3glox = 15 * 3glo * x Multiply 15 * 3 27glo + 3glox = 45glo * x Multiply glo * x 27glo + 3glox = 45glox Solving 27glo + 3glox = 45glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-45glox' to each side of the equation. 27glo + 3glox + -45glox = 45glox + -45glox Combine like terms: 3glox + -45glox = -42glox 27glo + -42glox = 45glox + -45glox Combine like terms: 45glox + -45glox = 0 27glo + -42glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(9 + -14x) = 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 '(9 + -14x)' equal to zero and attempt to solve: Simplifying 9 + -14x = 0 Solving 9 + -14x = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -14x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -14x = 0 + -9 -14x = 0 + -9 Combine like terms: 0 + -9 = -9 -14x = -9 Add '14x' to each side of the equation. -14x + 14x = -9 + 14x Combine like terms: -14x + 14x = 0 0 = -9 + 14x Simplifying 0 = -9 + 14x 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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