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Simplifying logx + log(x + 5) = log3 Reorder the terms: glox + glo(5 + x) = log3 glox + (5 * glo + x * glo) = log3 glox + (5glo + glox) = log3 Reorder the terms: 5glo + glox + glox = log3 Combine like terms: glox + glox = 2glox 5glo + 2glox = log3 Solving 5glo + 2glox = g3lo Solving for variable 'g'. Combine like terms: g3lo + -1g3lo = 0 5glo + 2glox + -1g3lo = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(5 + 2x + -1g2) = 0Subproblem 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 + -1g2)' equal to zero and attempt to solve: Simplifying 5 + 2x + -1g2 = 0 Reorder the terms: 5 + -1g2 + 2x = 0 Solving 5 + -1g2 + 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 + -1g2 + -5 + 2x = 0 + -5 Reorder the terms: 5 + -5 + -1g2 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1g2 + 2x = 0 + -5 -1g2 + 2x = 0 + -5 Combine like terms: 0 + -5 = -5 -1g2 + 2x = -5 Add '-2x' to each side of the equation. -1g2 + 2x + -2x = -5 + -2x Combine like terms: 2x + -2x = 0 -1g2 + 0 = -5 + -2x -1g2 = -5 + -2x Divide each side by '-1'. g2 = 5 + 2x Simplifying g2 = 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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