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