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Simplifying Log(6 + -4) + log(6) = log(12) Combine like terms: 6 + -4 = 2 goL(2) + log(6) = log(12) Reorder the terms for easier multiplication: 2goL + log(6) = log(12) Reorder the terms for easier multiplication: 2goL + 6glo = log(12) Reorder the terms: 6glo + 2goL = log(12) Reorder the terms for easier multiplication: 6glo + 2goL = 12glo Solving 6glo + 2goL = 12glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12glo' to each side of the equation. 6glo + -12glo + 2goL = 12glo + -12glo Combine like terms: 6glo + -12glo = -6glo -6glo + 2goL = 12glo + -12glo Combine like terms: 12glo + -12glo = 0 -6glo + 2goL = 0 Factor out the Greatest Common Factor (GCF), '2go'. 2go(-3l + L) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-3l + L)' equal to zero and attempt to solve: Simplifying -3l + L = 0 Reorder the terms: L + -3l = 0 Solving L + -3l = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + -1L + -3l = 0 + -1L Combine like terms: L + -1L = 0 0 + -3l = 0 + -1L -3l = 0 + -1L Remove the zero: -3l = -1L Add '3l' to each side of the equation. -3l + 3l = -1L + 3l Combine like terms: -3l + 3l = 0 0 = -1L + 3l Simplifying 0 = -1L + 3l 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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