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Simplifying Log(x) + -1log(8) = log(x + -14) Multiply goL * x goxL + -1log(8) = log(x + -14) Reorder the terms for easier multiplication: goxL + -1 * 8glo = log(x + -14) Multiply -1 * 8 goxL + -8glo = log(x + -14) Reorder the terms: -8glo + goxL = log(x + -14) Reorder the terms: -8glo + goxL = glo(-14 + x) -8glo + goxL = (-14 * glo + x * glo) -8glo + goxL = (-14glo + glox) Solving -8glo + goxL = -14glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '14glo' to each side of the equation. -8glo + 14glo + goxL = -14glo + 14glo + glox Combine like terms: -8glo + 14glo = 6glo 6glo + goxL = -14glo + 14glo + glox Combine like terms: -14glo + 14glo = 0 6glo + goxL = 0 + glox 6glo + goxL = glox Add '-1glox' to each side of the equation. 6glo + -1glox + goxL = glox + -1glox Combine like terms: glox + -1glox = 0 6glo + -1glox + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(6l + -1lx + 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 '(6l + -1lx + xL)' equal to zero and attempt to solve: Simplifying 6l + -1lx + xL = 0 Solving 6l + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-6l' to each side of the equation. 6l + -1lx + -6l + xL = 0 + -6l Reorder the terms: 6l + -6l + -1lx + xL = 0 + -6l Combine like terms: 6l + -6l = 0 0 + -1lx + xL = 0 + -6l -1lx + xL = 0 + -6l Remove the zero: -1lx + xL = -6l Add 'lx' to each side of the equation. -1lx + lx + xL = -6l + lx Combine like terms: -1lx + lx = 0 0 + xL = -6l + lx xL = -6l + lx Add '-1xL' to each side of the equation. xL + -1xL = -6l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = -6l + lx + -1xL Simplifying 0 = -6l + lx + -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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