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Simplifying Log(x) + log(x + -2) = log(24) Multiply goL * x goxL + log(x + -2) = log(24) Reorder the terms: goxL + glo(-2 + x) = log(24) goxL + (-2 * glo + x * glo) = log(24) goxL + (-2glo + glox) = log(24) Reorder the terms: -2glo + glox + goxL = log(24) Reorder the terms for easier multiplication: -2glo + glox + goxL = 24glo Solving -2glo + glox + goxL = 24glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. -2glo + glox + -24glo + goxL = 24glo + -24glo Reorder the terms: -2glo + -24glo + glox + goxL = 24glo + -24glo Combine like terms: -2glo + -24glo = -26glo -26glo + glox + goxL = 24glo + -24glo Combine like terms: 24glo + -24glo = 0 -26glo + glox + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-26l + lx + 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 '(-26l + lx + xL)' equal to zero and attempt to solve: Simplifying -26l + lx + xL = 0 Solving -26l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '26l' to each side of the equation. -26l + lx + 26l + xL = 0 + 26l Reorder the terms: -26l + 26l + lx + xL = 0 + 26l Combine like terms: -26l + 26l = 0 0 + lx + xL = 0 + 26l lx + xL = 0 + 26l Remove the zero: lx + xL = 26l Add '-1lx' to each side of the equation. lx + -1lx + xL = 26l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = 26l + -1lx xL = 26l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = 26l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = 26l + -1lx + -1xL Simplifying 0 = 26l + -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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