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Simplifying Log(6) * x + -6 + -1log(6) * x = log(6) * 72 Reorder the terms for easier multiplication: 6goL * x + -6 + -1log(6) * x = log(6) * 72 Multiply goL * x 6goxL + -6 + -1log(6) * x = log(6) * 72 Reorder the terms for easier multiplication: 6goxL + -6 + -1 * 6glo * x = log(6) * 72 Multiply -1 * 6 6goxL + -6 + -6glo * x = log(6) * 72 Multiply glo * x 6goxL + -6 + -6glox = log(6) * 72 Reorder the terms: -6 + -6glox + 6goxL = log(6) * 72 Reorder the terms for easier multiplication: -6 + -6glox + 6goxL = 6 * 72glo Multiply 6 * 72 -6 + -6glox + 6goxL = 432glo Solving -6 + -6glox + 6goxL = 432glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-432glo' to each side of the equation. -6 + -6glox + -432glo + 6goxL = 432glo + -432glo Reorder the terms: -6 + -432glo + -6glox + 6goxL = 432glo + -432glo Combine like terms: 432glo + -432glo = 0 -6 + -432glo + -6glox + 6goxL = 0 Add '6' to each side of the equation. -6 + -432glo + -6glox + 6 + 6goxL = 0 + 6 Reorder the terms: -6 + 6 + -432glo + -6glox + 6goxL = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -432glo + -6glox + 6goxL = 0 + 6 -432glo + -6glox + 6goxL = 0 + 6 Combine like terms: 0 + 6 = 6 -432glo + -6glox + 6goxL = 6 Reorder the terms: -6 + -432glo + -6glox + 6goxL = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -432glo + -6glox + 6goxL = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-1 + -72glo + -1glox + goxL) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -72glo + -1glox + goxL)' equal to zero and attempt to solve: Simplifying -1 + -72glo + -1glox + goxL = 0 Solving -1 + -72glo + -1glox + goxL = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -72glo + -1glox + 1 + goxL = 0 + 1 Reorder the terms: -1 + 1 + -72glo + -1glox + goxL = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -72glo + -1glox + goxL = 0 + 1 -72glo + -1glox + goxL = 0 + 1 Combine like terms: 0 + 1 = 1 -72glo + -1glox + goxL = 1 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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