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Simplifying logx + 1 = log(3x + 14) Reorder the terms: 1 + glox = log(3x + 14) Reorder the terms: 1 + glox = glo(14 + 3x) 1 + glox = (14 * glo + 3x * glo) 1 + glox = (14glo + 3glox) Solving 1 + glox = 14glo + 3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14glo' to each side of the equation. 1 + -14glo + glox = 14glo + -14glo + 3glox Combine like terms: 14glo + -14glo = 0 1 + -14glo + glox = 0 + 3glox 1 + -14glo + glox = 3glox Add '-3glox' to each side of the equation. 1 + -14glo + glox + -3glox = 3glox + -3glox Combine like terms: glox + -3glox = -2glox 1 + -14glo + -2glox = 3glox + -3glox Combine like terms: 3glox + -3glox = 0 1 + -14glo + -2glox = 0 Add '-1' to each side of the equation. 1 + -14glo + -1 + -2glox = 0 + -1 Reorder the terms: 1 + -1 + -14glo + -2glox = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -14glo + -2glox = 0 + -1 -14glo + -2glox = 0 + -1 Combine like terms: 0 + -1 = -1 -14glo + -2glox = -1 Reorder the terms: 1 + -14glo + -2glox = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -14glo + -2glox = 0 The solution to this equation could not be determined.
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