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Simplifying log(6x + 5) + -1log(3) = log(2) + -1log(x) Reorder the terms: glo(5 + 6x) + -1log(3) = log(2) + -1log(x) (5 * glo + 6x * glo) + -1log(3) = log(2) + -1log(x) (5glo + 6glox) + -1log(3) = log(2) + -1log(x) Reorder the terms for easier multiplication: 5glo + 6glox + -1 * 3glo = log(2) + -1log(x) Multiply -1 * 3 5glo + 6glox + -3glo = log(2) + -1log(x) Reorder the terms: 5glo + -3glo + 6glox = log(2) + -1log(x) Combine like terms: 5glo + -3glo = 2glo 2glo + 6glox = log(2) + -1log(x) Reorder the terms for easier multiplication: 2glo + 6glox = 2glo + -1log(x) Multiply glo * x 2glo + 6glox = 2glo + -1glox Add '-2glo' to each side of the equation. 2glo + -2glo + 6glox = 2glo + -2glo + -1glox Combine like terms: 2glo + -2glo = 0 0 + 6glox = 2glo + -2glo + -1glox 6glox = 2glo + -2glo + -1glox Combine like terms: 2glo + -2glo = 0 6glox = 0 + -1glox 6glox = -1glox Solving 6glox = -1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'glox' to each side of the equation. 6glox + glox = -1glox + glox Combine like terms: 6glox + glox = 7glox 7glox = -1glox + glox Combine like terms: -1glox + glox = 0 7glox = 0 Divide each side by '7'. glox = 0 Simplifying glox = 0 The solution to this equation could not be determined.
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