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Simplifying Log[3](x + -3) = 1 + log[3](x + 1) Reorder the terms: goL * 3(-3 + x) = 1 + log[3](x + 1) Reorder the terms for easier multiplication: 3goL(-3 + x) = 1 + log[3](x + 1) (-3 * 3goL + x * 3goL) = 1 + log[3](x + 1) (-9goL + 3goxL) = 1 + log[3](x + 1) Reorder the terms: -9goL + 3goxL = 1 + glo * 3(1 + x) Reorder the terms for easier multiplication: -9goL + 3goxL = 1 + 3glo(1 + x) -9goL + 3goxL = 1 + (1 * 3glo + x * 3glo) -9goL + 3goxL = 1 + (3glo + 3glox) Solving -9goL + 3goxL = 1 + 3glo + 3glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glo' to each side of the equation. -9goL + -3glo + 3goxL = 1 + 3glo + -3glo + 3glox Reorder the terms: -3glo + -9goL + 3goxL = 1 + 3glo + -3glo + 3glox Combine like terms: 3glo + -3glo = 0 -3glo + -9goL + 3goxL = 1 + 0 + 3glox -3glo + -9goL + 3goxL = 1 + 3glox Add '-3glox' to each side of the equation. -3glo + -9goL + -3glox + 3goxL = 1 + 3glox + -3glox Reorder the terms: -3glo + -3glox + -9goL + 3goxL = 1 + 3glox + -3glox Combine like terms: 3glox + -3glox = 0 -3glo + -3glox + -9goL + 3goxL = 1 + 0 -3glo + -3glox + -9goL + 3goxL = 1 Reorder the terms: -1 + -3glo + -3glox + -9goL + 3goxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -3glo + -3glox + -9goL + 3goxL = 0 The solution to this equation could not be determined.
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