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Simplifying Log(x + -5) + log(x) = log(36) Reorder the terms: goL(-5 + x) + log(x) = log(36) (-5 * goL + x * goL) + log(x) = log(36) (-5goL + goxL) + log(x) = log(36) Multiply glo * x -5goL + goxL + glox = log(36) Reorder the terms: glox + -5goL + goxL = log(36) Reorder the terms for easier multiplication: glox + -5goL + goxL = 36glo Solving glox + -5goL + goxL = 36glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-36glo' to each side of the equation. glox + -5goL + -36glo + goxL = 36glo + -36glo Reorder the terms: -36glo + glox + -5goL + goxL = 36glo + -36glo Combine like terms: 36glo + -36glo = 0 -36glo + glox + -5goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-36l + lx + -5L + 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 '(-36l + lx + -5L + xL)' equal to zero and attempt to solve: Simplifying -36l + lx + -5L + xL = 0 Reorder the terms: -5L + -36l + lx + xL = 0 Solving -5L + -36l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '5L' to each side of the equation. -5L + -36l + lx + 5L + xL = 0 + 5L Reorder the terms: -5L + 5L + -36l + lx + xL = 0 + 5L Combine like terms: -5L + 5L = 0 0 + -36l + lx + xL = 0 + 5L -36l + lx + xL = 0 + 5L Remove the zero: -36l + lx + xL = 5L Add '36l' to each side of the equation. -36l + lx + 36l + xL = 5L + 36l Reorder the terms: -36l + 36l + lx + xL = 5L + 36l Combine like terms: -36l + 36l = 0 0 + lx + xL = 5L + 36l lx + xL = 5L + 36l Add '-1lx' to each side of the equation. lx + -1lx + xL = 5L + 36l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = 5L + 36l + -1lx xL = 5L + 36l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = 5L + 36l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = 5L + 36l + -1lx + -1xL Simplifying 0 = 5L + 36l + -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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