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Simplifying Log(x + -3) = 1 + -1log(x + -7) Reorder the terms: goL(-3 + x) = 1 + -1log(x + -7) (-3 * goL + x * goL) = 1 + -1log(x + -7) (-3goL + goxL) = 1 + -1log(x + -7) Reorder the terms: -3goL + goxL = 1 + -1glo(-7 + x) -3goL + goxL = 1 + (-7 * -1glo + x * -1glo) -3goL + goxL = 1 + (7glo + -1glox) Solving -3goL + goxL = 1 + 7glo + -1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7glo' to each side of the equation. -3goL + -7glo + goxL = 1 + 7glo + -7glo + -1glox Reorder the terms: -7glo + -3goL + goxL = 1 + 7glo + -7glo + -1glox Combine like terms: 7glo + -7glo = 0 -7glo + -3goL + goxL = 1 + 0 + -1glox -7glo + -3goL + goxL = 1 + -1glox Add 'glox' to each side of the equation. -7glo + -3goL + glox + goxL = 1 + -1glox + glox Reorder the terms: -7glo + glox + -3goL + goxL = 1 + -1glox + glox Combine like terms: -1glox + glox = 0 -7glo + glox + -3goL + goxL = 1 + 0 -7glo + glox + -3goL + goxL = 1 Reorder the terms: -1 + -7glo + glox + -3goL + goxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -7glo + glox + -3goL + goxL = 0 The solution to this equation could not be determined.
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