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Simplifying log(30x) = 1 + log(6x + -8) Remove parenthesis around (30x) glo * 30x = 1 + log(6x + -8) Reorder the terms for easier multiplication: 30glo * x = 1 + log(6x + -8) Multiply glo * x 30glox = 1 + log(6x + -8) Reorder the terms: 30glox = 1 + glo(-8 + 6x) 30glox = 1 + (-8 * glo + 6x * glo) 30glox = 1 + (-8glo + 6glox) Solving 30glox = 1 + -8glo + 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '8glo' to each side of the equation. 8glo + 30glox = 1 + -8glo + 8glo + 6glox Combine like terms: -8glo + 8glo = 0 8glo + 30glox = 1 + 0 + 6glox 8glo + 30glox = 1 + 6glox Add '-6glox' to each side of the equation. 8glo + 30glox + -6glox = 1 + 6glox + -6glox Combine like terms: 30glox + -6glox = 24glox 8glo + 24glox = 1 + 6glox + -6glox Combine like terms: 6glox + -6glox = 0 8glo + 24glox = 1 + 0 8glo + 24glox = 1 Reorder the terms: -1 + 8glo + 24glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 8glo + 24glox = 0 The solution to this equation could not be determined.
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