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Simplifying Log(3) * x = log(9) * 6x Reorder the terms for easier multiplication: 3goL * x = log(9) * 6x Multiply goL * x 3goxL = log(9) * 6x Reorder the terms for easier multiplication: 3goxL = 9 * 6glo * x Multiply 9 * 6 3goxL = 54glo * x Multiply glo * x 3goxL = 54glox Solving 3goxL = 54glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-54glox' to each side of the equation. -54glox + 3goxL = 54glox + -54glox Combine like terms: 54glox + -54glox = 0 -54glox + 3goxL = 0 Factor out the Greatest Common Factor (GCF), '3gox'. 3gox(-18l + L) = 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 '(-18l + L)' equal to zero and attempt to solve: Simplifying -18l + L = 0 Reorder the terms: L + -18l = 0 Solving L + -18l = 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 + -18l = 0 + -1L Combine like terms: L + -1L = 0 0 + -18l = 0 + -1L -18l = 0 + -1L Remove the zero: -18l = -1L Add '18l' to each side of the equation. -18l + 18l = -1L + 18l Combine like terms: -18l + 18l = 0 0 = -1L + 18l Simplifying 0 = -1L + 18l 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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