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Simplifying log[5](2) + log[5](x2) + -1log[5](3 + -1x) = 0 Reorder the terms for easier multiplication: 5 * 2glo + log[5](x2) + -1log[5](3 + -1x) = 0 Multiply 5 * 2 10glo + log[5](x2) + -1log[5](3 + -1x) = 0 Reorder the terms for easier multiplication: 10glo + 5glo * x2 + -1log[5](3 + -1x) = 0 Multiply glo * x2 10glo + 5glox2 + -1log[5](3 + -1x) = 0 Reorder the terms for easier multiplication: 10glo + 5glox2 + -1 * 5glo(3 + -1x) = 0 Multiply -1 * 5 10glo + 5glox2 + -5glo(3 + -1x) = 0 10glo + 5glox2 + (3 * -5glo + -1x * -5glo) = 0 10glo + 5glox2 + (-15glo + 5glox) = 0 Reorder the terms: 10glo + -15glo + 5glox + 5glox2 = 0 Combine like terms: 10glo + -15glo = -5glo -5glo + 5glox + 5glox2 = 0 Solving -5glo + 5glox + 5glox2 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-1 + x + x2) = 0 Ignore the factor 5.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 '(-1 + x + x2)' equal to zero and attempt to solve: Simplifying -1 + x + x2 = 0 Solving -1 + x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x + x2 = 0 + 1 x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 x + x2 = 1 Add '-1x' to each side of the equation. x + -1x + x2 = 1 + -1x Combine like terms: x + -1x = 0 0 + x2 = 1 + -1x x2 = 1 + -1x Add '-1x2' to each side of the equation. x2 + -1x2 = 1 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 1 + -1x + -1x2 Simplifying 0 = 1 + -1x + -1x2 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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