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Simplifying Log(x + 3) + log(x + 1) = 0 Reorder the terms: goL(3 + x) + log(x + 1) = 0 (3 * goL + x * goL) + log(x + 1) = 0 (3goL + goxL) + log(x + 1) = 0 Reorder the terms: 3goL + goxL + glo(1 + x) = 0 3goL + goxL + (1 * glo + x * glo) = 0 3goL + goxL + (1glo + glox) = 0 Reorder the terms: 1glo + glox + 3goL + goxL = 0 Solving 1glo + glox + 3goL + goxL = 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), 'go'. go(l + lx + 3L + xL) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(l + lx + 3L + xL)' equal to zero and attempt to solve: Simplifying l + lx + 3L + xL = 0 Reorder the terms: 3L + l + lx + xL = 0 Solving 3L + l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-3L' to each side of the equation. 3L + l + lx + -3L + xL = 0 + -3L Reorder the terms: 3L + -3L + l + lx + xL = 0 + -3L Combine like terms: 3L + -3L = 0 0 + l + lx + xL = 0 + -3L l + lx + xL = 0 + -3L Remove the zero: l + lx + xL = -3L Add '-1l' to each side of the equation. l + lx + -1l + xL = -3L + -1l Reorder the terms: l + -1l + lx + xL = -3L + -1l Combine like terms: l + -1l = 0 0 + lx + xL = -3L + -1l lx + xL = -3L + -1l Add '-1lx' to each side of the equation. lx + -1lx + xL = -3L + -1l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = -3L + -1l + -1lx xL = -3L + -1l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = -3L + -1l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = -3L + -1l + -1lx + -1xL Simplifying 0 = -3L + -1l + -1lx + -1xL 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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