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Simplifying 13 + -7log(x + -5) = 6 Reorder the terms: 13 + -7glo(-5 + x) = 6 13 + (-5 * -7glo + x * -7glo) = 6 13 + (35glo + -7glox) = 6 Solving 13 + 35glo + -7glox = 6 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 35glo + -13 + -7glox = 6 + -13 Reorder the terms: 13 + -13 + 35glo + -7glox = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 35glo + -7glox = 6 + -13 35glo + -7glox = 6 + -13 Combine like terms: 6 + -13 = -7 35glo + -7glox = -7 Reorder the terms: 7 + 35glo + -7glox = -7 + 7 Combine like terms: -7 + 7 = 0 7 + 35glo + -7glox = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(1 + 5glo + -1glox) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + 5glo + -1glox)' equal to zero and attempt to solve: Simplifying 1 + 5glo + -1glox = 0 Solving 1 + 5glo + -1glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5glo + -1 + -1glox = 0 + -1 Reorder the terms: 1 + -1 + 5glo + -1glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5glo + -1glox = 0 + -1 5glo + -1glox = 0 + -1 Combine like terms: 0 + -1 = -1 5glo + -1glox = -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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