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Simplifying log(2)(5) = 3log(x)(5) Reorder the terms for easier multiplication: 2 * 5glo = 3log(x)(5) Multiply 2 * 5 10glo = 3log(x)(5) Reorder the terms for easier multiplication: 10glo = 3 * 5glo * x Multiply 3 * 5 10glo = 15glo * x Multiply glo * x 10glo = 15glox Solving 10glo = 15glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15glox' to each side of the equation. 10glo + -15glox = 15glox + -15glox Combine like terms: 15glox + -15glox = 0 10glo + -15glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(2 + -3x) = 0 Ignore the factor 5.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 '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Add '3x' to each side of the equation. -3x + 3x = -2 + 3x Combine like terms: -3x + 3x = 0 0 = -2 + 3x Simplifying 0 = -2 + 3x 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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