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Simplifying 2log(3) * x = 3log(3) * 5 Reorder the terms for easier multiplication: 2 * 3glo * x = 3log(3) * 5 Multiply 2 * 3 6glo * x = 3log(3) * 5 Multiply glo * x 6glox = 3log(3) * 5 Reorder the terms for easier multiplication: 6glox = 3 * 3 * 5glo Multiply 3 * 3 6glox = 9 * 5glo Multiply 9 * 5 6glox = 45glo Solving 6glox = 45glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-45glo' to each side of the equation. -45glo + 6glox = 45glo + -45glo Combine like terms: 45glo + -45glo = 0 -45glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-15 + 2x) = 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 '(-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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