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Simplifying log(3 + x) + -1log(7 + -1x) = 2 (3 * glo + x * glo) + -1log(7 + -1x) = 2 (3glo + glox) + -1log(7 + -1x) = 2 3glo + glox + (7 * -1glo + -1x * -1glo) = 2 3glo + glox + (-7glo + 1glox) = 2 Reorder the terms: 3glo + -7glo + glox + 1glox = 2 Combine like terms: 3glo + -7glo = -4glo -4glo + glox + 1glox = 2 Combine like terms: glox + 1glox = 2glox -4glo + 2glox = 2 Solving -4glo + 2glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + -4glo + 2glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -4glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -2glo + glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -2glo + glox)' equal to zero and attempt to solve: Simplifying -1 + -2glo + glox = 0 Solving -1 + -2glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2glo + 1 + glox = 0 + 1 Reorder the terms: -1 + 1 + -2glo + glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2glo + glox = 0 + 1 -2glo + glox = 0 + 1 Combine like terms: 0 + 1 = 1 -2glo + glox = 1 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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