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Simplifying Log(x) + log(x + -9) = log(14x) Multiply goL * x goxL + log(x + -9) = log(14x) Reorder the terms: goxL + glo(-9 + x) = log(14x) goxL + (-9 * glo + x * glo) = log(14x) goxL + (-9glo + glox) = log(14x) Reorder the terms: -9glo + glox + goxL = log(14x) Remove parenthesis around (14x) -9glo + glox + goxL = glo * 14x Reorder the terms for easier multiplication: -9glo + glox + goxL = 14glo * x Multiply glo * x -9glo + glox + goxL = 14glox Solving -9glo + glox + goxL = 14glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14glox' to each side of the equation. -9glo + glox + -14glox + goxL = 14glox + -14glox Combine like terms: glox + -14glox = -13glox -9glo + -13glox + goxL = 14glox + -14glox Combine like terms: 14glox + -14glox = 0 -9glo + -13glox + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-9l + -13lx + 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 '(-9l + -13lx + xL)' equal to zero and attempt to solve: Simplifying -9l + -13lx + xL = 0 Solving -9l + -13lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '9l' to each side of the equation. -9l + -13lx + 9l + xL = 0 + 9l Reorder the terms: -9l + 9l + -13lx + xL = 0 + 9l Combine like terms: -9l + 9l = 0 0 + -13lx + xL = 0 + 9l -13lx + xL = 0 + 9l Remove the zero: -13lx + xL = 9l Add '13lx' to each side of the equation. -13lx + 13lx + xL = 9l + 13lx Combine like terms: -13lx + 13lx = 0 0 + xL = 9l + 13lx xL = 9l + 13lx Add '-1xL' to each side of the equation. xL + -1xL = 9l + 13lx + -1xL Combine like terms: xL + -1xL = 0 0 = 9l + 13lx + -1xL Simplifying 0 = 9l + 13lx + -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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