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Simplifying Log(6) * x = log(9) * x Reorder the terms for easier multiplication: 6goL * x = log(9) * x Multiply goL * x 6goxL = log(9) * x Reorder the terms for easier multiplication: 6goxL = 9glo * x Multiply glo * x 6goxL = 9glox Solving 6goxL = 9glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glox' to each side of the equation. -9glox + 6goxL = 9glox + -9glox Combine like terms: 9glox + -9glox = 0 -9glox + 6goxL = 0 Factor out the Greatest Common Factor (GCF), '3gox'. 3gox(-3l + 2L) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'gox' equal to zero and attempt to solve: Simplifying gox = 0 Solving gox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gox = 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 + 2L)' equal to zero and attempt to solve: Simplifying -3l + 2L = 0 Reorder the terms: 2L + -3l = 0 Solving 2L + -3l = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -2L + -3l = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -3l = 0 + -2L -3l = 0 + -2L Remove the zero: -3l = -2L Add '3l' to each side of the equation. -3l + 3l = -2L + 3l Combine like terms: -3l + 3l = 0 0 = -2L + 3l Simplifying 0 = -2L + 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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