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Simplifying log(6)(x) + log(6)(x + 1) = log(6)(6) Reorder the terms for easier multiplication: 6glo * x + log(6)(x + 1) = log(6)(6) Multiply glo * x 6glox + log(6)(x + 1) = log(6)(6) Reorder the terms: 6glox + glo * 6(1 + x) = log(6)(6) Reorder the terms for easier multiplication: 6glox + 6glo(1 + x) = log(6)(6) 6glox + (1 * 6glo + x * 6glo) = log(6)(6) 6glox + (6glo + 6glox) = log(6)(6) Reorder the terms: 6glo + 6glox + 6glox = log(6)(6) Combine like terms: 6glox + 6glox = 12glox 6glo + 12glox = log(6)(6) Reorder the terms for easier multiplication: 6glo + 12glox = 6 * 6glo Multiply 6 * 6 6glo + 12glox = 36glo Solving 6glo + 12glox = 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. 6glo + -36glo + 12glox = 36glo + -36glo Combine like terms: 6glo + -36glo = -30glo -30glo + 12glox = 36glo + -36glo Combine like terms: 36glo + -36glo = 0 -30glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '6glo'. 6glo(-5 + 2x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-5 + 2x)' equal to zero and attempt to solve: Simplifying -5 + 2x = 0 Solving -5 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = 0 + 5 2x = 0 + 5 Combine like terms: 0 + 5 = 5 2x = 5 Add '-2x' to each side of the equation. 2x + -2x = 5 + -2x Combine like terms: 2x + -2x = 0 0 = 5 + -2x Simplifying 0 = 5 + -2x 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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