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Simplifying 3log(7)(4) + -5log(7)(m) = 0 Reorder the terms for easier multiplication: 3 * 7 * 4glo + -5log(7)(m) = 0 Multiply 3 * 7 21 * 4glo + -5log(7)(m) = 0 Multiply 21 * 4 84glo + -5log(7)(m) = 0 Reorder the terms for easier multiplication: 84glo + -5 * 7glo * m = 0 Multiply -5 * 7 84glo + -35glo * m = 0 Multiply glo * m 84glo + -35glmo = 0 Reorder the terms: -35glmo + 84glo = 0 Solving -35glmo + 84glo = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '7glo'. 7glo(-5m + 12) = 0 Ignore the factor 7.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 '(-5m + 12)' equal to zero and attempt to solve: Simplifying -5m + 12 = 0 Reorder the terms: 12 + -5m = 0 Solving 12 + -5m = 0 Move all terms containing g to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5m = 0 + -12 -5m = 0 + -12 Combine like terms: 0 + -12 = -12 -5m = -12 Add '5m' to each side of the equation. -5m + 5m = -12 + 5m Combine like terms: -5m + 5m = 0 0 = -12 + 5m Simplifying 0 = -12 + 5m 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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