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Simplifying log(9 + -5k) = log(4k) (9 * glo + -5k * glo) = log(4k) Reorder the terms: (-5gklo + 9glo) = log(4k) (-5gklo + 9glo) = log(4k) Remove parenthesis around (4k) -5gklo + 9glo = glo * 4k Reorder the terms for easier multiplication: -5gklo + 9glo = 4glo * k Multiply glo * k -5gklo + 9glo = 4gklo Solving -5gklo + 9glo = 4gklo 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. -5gklo + -4gklo + 9glo = 4gklo + -4gklo Combine like terms: -5gklo + -4gklo = -9gklo -9gklo + 9glo = 4gklo + -4gklo Combine like terms: 4gklo + -4gklo = 0 -9gklo + 9glo = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(-1k + 1) = 0 Ignore the factor 9.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 '(-1k + 1)' equal to zero and attempt to solve: Simplifying -1k + 1 = 0 Reorder the terms: 1 + -1k = 0 Solving 1 + -1k = 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 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Add 'k' to each side of the equation. -1k + k = -1 + k Combine like terms: -1k + k = 0 0 = -1 + k Simplifying 0 = -1 + 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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