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Simplifying log(-5k + 2) = log(-1k + 1) Reorder the terms: glo(2 + -5k) = log(-1k + 1) (2 * glo + -5k * glo) = log(-1k + 1) Reorder the terms: (-5gklo + 2glo) = log(-1k + 1) (-5gklo + 2glo) = log(-1k + 1) Reorder the terms: -5gklo + 2glo = glo(1 + -1k) -5gklo + 2glo = (1 * glo + -1k * glo) Reorder the terms: -5gklo + 2glo = (-1gklo + 1glo) -5gklo + 2glo = (-1gklo + 1glo) Solving -5gklo + 2glo = -1gklo + 1glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'gklo' to each side of the equation. -5gklo + gklo + 2glo = -1gklo + gklo + 1glo Combine like terms: -5gklo + gklo = -4gklo -4gklo + 2glo = -1gklo + gklo + 1glo Combine like terms: -1gklo + gklo = 0 -4gklo + 2glo = 0 + 1glo -4gklo + 2glo = 1glo Add '-1glo' to each side of the equation. -4gklo + 2glo + -1glo = 1glo + -1glo Combine like terms: 2glo + -1glo = 1glo -4gklo + 1glo = 1glo + -1glo Combine like terms: 1glo + -1glo = 0 -4gklo + 1glo = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-4k + 1) = 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 '(-4k + 1)' equal to zero and attempt to solve: Simplifying -4k + 1 = 0 Reorder the terms: 1 + -4k = 0 Solving 1 + -4k = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = 0 + -1 -4k = 0 + -1 Combine like terms: 0 + -1 = -1 -4k = -1 Add '4k' to each side of the equation. -4k + 4k = -1 + 4k Combine like terms: -4k + 4k = 0 0 = -1 + 4k Simplifying 0 = -1 + 4k 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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