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Simplifying log(6)(x) + log(6)(x + 3) = log(6)(18) Reorder the terms for easier multiplication: 6glo * x + log(6)(x + 3) = log(6)(18) Multiply glo * x 6glox + log(6)(x + 3) = log(6)(18) Reorder the terms: 6glox + glo * 6(3 + x) = log(6)(18) Reorder the terms for easier multiplication: 6glox + 6glo(3 + x) = log(6)(18) 6glox + (3 * 6glo + x * 6glo) = log(6)(18) 6glox + (18glo + 6glox) = log(6)(18) Reorder the terms: 18glo + 6glox + 6glox = log(6)(18) Combine like terms: 6glox + 6glox = 12glox 18glo + 12glox = log(6)(18) Reorder the terms for easier multiplication: 18glo + 12glox = 6 * 18glo Multiply 6 * 18 18glo + 12glox = 108glo Solving 18glo + 12glox = 108glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-108glo' to each side of the equation. 18glo + -108glo + 12glox = 108glo + -108glo Combine like terms: 18glo + -108glo = -90glo -90glo + 12glox = 108glo + -108glo Combine like terms: 108glo + -108glo = 0 -90glo + 12glox = 0 Factor out the Greatest Common Factor (GCF), '6glo'. 6glo(-15 + 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 '(-15 + 2x)' equal to zero and attempt to solve: Simplifying -15 + 2x = 0 Solving -15 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 0 + 15 2x = 0 + 15 Combine like terms: 0 + 15 = 15 2x = 15 Add '-2x' to each side of the equation. 2x + -2x = 15 + -2x Combine like terms: 2x + -2x = 0 0 = 15 + -2x Simplifying 0 = 15 + -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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