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Simplifying Log(3) * 6 + log(3) * x = log(3) * 12 Reorder the terms for easier multiplication: 3 * 6goL + log(3) * x = log(3) * 12 Multiply 3 * 6 18goL + log(3) * x = log(3) * 12 Reorder the terms for easier multiplication: 18goL + 3glo * x = log(3) * 12 Multiply glo * x 18goL + 3glox = log(3) * 12 Reorder the terms: 3glox + 18goL = log(3) * 12 Reorder the terms for easier multiplication: 3glox + 18goL = 3 * 12glo Multiply 3 * 12 3glox + 18goL = 36glo Solving 3glox + 18goL = 36glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-36glo' to each side of the equation. 3glox + -36glo + 18goL = 36glo + -36glo Reorder the terms: -36glo + 3glox + 18goL = 36glo + -36glo Combine like terms: 36glo + -36glo = 0 -36glo + 3glox + 18goL = 0 Factor out the Greatest Common Factor (GCF), '3go'. 3go(-12l + lx + 6L) = 0 Ignore the factor 3.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 '(-12l + lx + 6L)' equal to zero and attempt to solve: Simplifying -12l + lx + 6L = 0 Reorder the terms: 6L + -12l + lx = 0 Solving 6L + -12l + lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-6L' to each side of the equation. 6L + -12l + -6L + lx = 0 + -6L Reorder the terms: 6L + -6L + -12l + lx = 0 + -6L Combine like terms: 6L + -6L = 0 0 + -12l + lx = 0 + -6L -12l + lx = 0 + -6L Remove the zero: -12l + lx = -6L Add '12l' to each side of the equation. -12l + 12l + lx = -6L + 12l Combine like terms: -12l + 12l = 0 0 + lx = -6L + 12l lx = -6L + 12l Add '-1lx' to each side of the equation. lx + -1lx = -6L + 12l + -1lx Combine like terms: lx + -1lx = 0 0 = -6L + 12l + -1lx Simplifying 0 = -6L + 12l + -1lx 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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