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Simplifying Log(x) + log(x + 7) = log(8) Multiply goL * x goxL + log(x + 7) = log(8) Reorder the terms: goxL + glo(7 + x) = log(8) goxL + (7 * glo + x * glo) = log(8) goxL + (7glo + glox) = log(8) Reorder the terms: 7glo + glox + goxL = log(8) Reorder the terms for easier multiplication: 7glo + glox + goxL = 8glo Solving 7glo + glox + goxL = 8glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glo' to each side of the equation. 7glo + glox + -8glo + goxL = 8glo + -8glo Reorder the terms: 7glo + -8glo + glox + goxL = 8glo + -8glo Combine like terms: 7glo + -8glo = -1glo -1glo + glox + goxL = 8glo + -8glo Combine like terms: 8glo + -8glo = 0 -1glo + glox + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-1l + 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 '(-1l + lx + xL)' equal to zero and attempt to solve: Simplifying -1l + lx + xL = 0 Solving -1l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add 'l' to each side of the equation. -1l + lx + l + xL = 0 + l Reorder the terms: -1l + l + lx + xL = 0 + l Combine like terms: -1l + l = 0 0 + lx + xL = 0 + l lx + xL = 0 + l Remove the zero: lx + xL = l Add '-1lx' to each side of the equation. lx + -1lx + xL = l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = l + -1lx xL = l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = l + -1lx + -1xL Simplifying 0 = l + -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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