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Simplifying log(3k + 6) = log(4k + 1) Reorder the terms: glo(6 + 3k) = log(4k + 1) (6 * glo + 3k * glo) = log(4k + 1) Reorder the terms: (3gklo + 6glo) = log(4k + 1) (3gklo + 6glo) = log(4k + 1) Reorder the terms: 3gklo + 6glo = glo(1 + 4k) 3gklo + 6glo = (1 * glo + 4k * glo) Reorder the terms: 3gklo + 6glo = (4gklo + 1glo) 3gklo + 6glo = (4gklo + 1glo) Solving 3gklo + 6glo = 4gklo + 1glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4gklo' to each side of the equation. 3gklo + -4gklo + 6glo = 4gklo + -4gklo + 1glo Combine like terms: 3gklo + -4gklo = -1gklo -1gklo + 6glo = 4gklo + -4gklo + 1glo Combine like terms: 4gklo + -4gklo = 0 -1gklo + 6glo = 0 + 1glo -1gklo + 6glo = 1glo Add '-1glo' to each side of the equation. -1gklo + 6glo + -1glo = 1glo + -1glo Combine like terms: 6glo + -1glo = 5glo -1gklo + 5glo = 1glo + -1glo Combine like terms: 1glo + -1glo = 0 -1gklo + 5glo = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-1k + 5) = 0Subproblem 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 '(-1k + 5)' equal to zero and attempt to solve: Simplifying -1k + 5 = 0 Reorder the terms: 5 + -1k = 0 Solving 5 + -1k = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Add 'k' to each side of the equation. -1k + k = -5 + k Combine like terms: -1k + k = 0 0 = -5 + k Simplifying 0 = -5 + k 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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