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Simplifying log(6)(x) + -1log(6)(1 + -1x) = 9 Reorder the terms for easier multiplication: 6glo * x + -1log(6)(1 + -1x) = 9 Multiply glo * x 6glox + -1log(6)(1 + -1x) = 9 Reorder the terms for easier multiplication: 6glox + -1 * 6glo(1 + -1x) = 9 Multiply -1 * 6 6glox + -6glo(1 + -1x) = 9 6glox + (1 * -6glo + -1x * -6glo) = 9 6glox + (-6glo + 6glox) = 9 Reorder the terms: -6glo + 6glox + 6glox = 9 Combine like terms: 6glox + 6glox = 12glox -6glo + 12glox = 9 Solving -6glo + 12glox = 9 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -9 + -6glo + 12glox = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -6glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + -2glo + 4glox) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -2glo + 4glox)' equal to zero and attempt to solve: Simplifying -3 + -2glo + 4glox = 0 Solving -3 + -2glo + 4glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2glo + 3 + 4glox = 0 + 3 Reorder the terms: -3 + 3 + -2glo + 4glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2glo + 4glox = 0 + 3 -2glo + 4glox = 0 + 3 Combine like terms: 0 + 3 = 3 -2glo + 4glox = 3 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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