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Simplifying log(5x) = log(x + -1) + 1 Remove parenthesis around (5x) glo * 5x = log(x + -1) + 1 Reorder the terms for easier multiplication: 5glo * x = log(x + -1) + 1 Multiply glo * x 5glox = log(x + -1) + 1 Reorder the terms: 5glox = glo(-1 + x) + 1 5glox = (-1 * glo + x * glo) + 1 5glox = (-1glo + glox) + 1 Reorder the terms: 5glox = 1 + -1glo + glox Solving 5glox = 1 + -1glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glo' to each side of the equation. glo + 5glox = 1 + -1glo + glo + glox Combine like terms: -1glo + glo = 0 glo + 5glox = 1 + 0 + glox glo + 5glox = 1 + glox Add '-1glox' to each side of the equation. glo + 5glox + -1glox = 1 + glox + -1glox Combine like terms: 5glox + -1glox = 4glox glo + 4glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 glo + 4glox = 1 + 0 glo + 4glox = 1 Reorder the terms: -1 + glo + 4glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + glo + 4glox = 0 The solution to this equation could not be determined.
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