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Simplifying Logx = log(x + 7) + -1log * 2 Reorder the terms: goxL = glo(7 + x) + -1log * 2 goxL = (7 * glo + x * glo) + -1log * 2 goxL = (7glo + glox) + -1log * 2 Reorder the terms for easier multiplication: goxL = 7glo + glox + -1 * 2glo Multiply -1 * 2 goxL = 7glo + glox + -2glo Reorder the terms: goxL = 7glo + -2glo + glox Combine like terms: 7glo + -2glo = 5glo goxL = 5glo + glox Solving goxL = 5glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5glo' to each side of the equation. -5glo + goxL = 5glo + -5glo + glox Combine like terms: 5glo + -5glo = 0 -5glo + goxL = 0 + glox -5glo + goxL = glox Add '-1glox' to each side of the equation. -5glo + -1glox + goxL = glox + -1glox Combine like terms: glox + -1glox = 0 -5glo + -1glox + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-5l + -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 '(-5l + -1lx + xL)' equal to zero and attempt to solve: Simplifying -5l + -1lx + xL = 0 Solving -5l + -1lx + 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 + -1lx + 5l + xL = 0 + 5l Reorder the terms: -5l + 5l + -1lx + xL = 0 + 5l Combine like terms: -5l + 5l = 0 0 + -1lx + xL = 0 + 5l -1lx + xL = 0 + 5l Remove the zero: -1lx + xL = 5l Add 'lx' to each side of the equation. -1lx + lx + xL = 5l + lx Combine like terms: -1lx + lx = 0 0 + xL = 5l + lx xL = 5l + lx Add '-1xL' to each side of the equation. xL + -1xL = 5l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = 5l + lx + -1xL Simplifying 0 = 5l + 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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