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Simplifying log(7x + -4) + -1log(-1x + 8) = 4 Reorder the terms: glo(-4 + 7x) + -1log(-1x + 8) = 4 (-4 * glo + 7x * glo) + -1log(-1x + 8) = 4 (-4glo + 7glox) + -1log(-1x + 8) = 4 Reorder the terms: -4glo + 7glox + -1glo(8 + -1x) = 4 -4glo + 7glox + (8 * -1glo + -1x * -1glo) = 4 -4glo + 7glox + (-8glo + 1glox) = 4 Reorder the terms: -4glo + -8glo + 7glox + 1glox = 4 Combine like terms: -4glo + -8glo = -12glo -12glo + 7glox + 1glox = 4 Combine like terms: 7glox + 1glox = 8glox -12glo + 8glox = 4 Solving -12glo + 8glox = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -4 + -12glo + 8glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -12glo + 8glox = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-1 + -3glo + 2glox) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -3glo + 2glox)' equal to zero and attempt to solve: Simplifying -1 + -3glo + 2glox = 0 Solving -1 + -3glo + 2glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -3glo + 1 + 2glox = 0 + 1 Reorder the terms: -1 + 1 + -3glo + 2glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3glo + 2glox = 0 + 1 -3glo + 2glox = 0 + 1 Combine like terms: 0 + 1 = 1 -3glo + 2glox = 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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