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Simplifying Log(20x) + -2 = log(x + -2) Remove parenthesis around (20x) goL * 20x + -2 = log(x + -2) Reorder the terms for easier multiplication: 20goL * x + -2 = log(x + -2) Multiply goL * x 20goxL + -2 = log(x + -2) Reorder the terms: -2 + 20goxL = log(x + -2) Reorder the terms: -2 + 20goxL = glo(-2 + x) -2 + 20goxL = (-2 * glo + x * glo) -2 + 20goxL = (-2glo + glox) Solving -2 + 20goxL = -2glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glo' to each side of the equation. -2 + 2glo + 20goxL = -2glo + 2glo + glox Combine like terms: -2glo + 2glo = 0 -2 + 2glo + 20goxL = 0 + glox -2 + 2glo + 20goxL = glox Add '-1glox' to each side of the equation. -2 + 2glo + -1glox + 20goxL = glox + -1glox Combine like terms: glox + -1glox = 0 -2 + 2glo + -1glox + 20goxL = 0 Add '2' to each side of the equation. -2 + 2glo + -1glox + 2 + 20goxL = 0 + 2 Reorder the terms: -2 + 2 + 2glo + -1glox + 20goxL = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2glo + -1glox + 20goxL = 0 + 2 2glo + -1glox + 20goxL = 0 + 2 Combine like terms: 0 + 2 = 2 2glo + -1glox + 20goxL = 2 Reorder the terms: -2 + 2glo + -1glox + 20goxL = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 2glo + -1glox + 20goxL = 0 The solution to this equation could not be determined.
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