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Simplifying log(40x) = 2 + log(x + -2) Remove parenthesis around (40x) glo * 40x = 2 + log(x + -2) Reorder the terms for easier multiplication: 40glo * x = 2 + log(x + -2) Multiply glo * x 40glox = 2 + log(x + -2) Reorder the terms: 40glox = 2 + glo(-2 + x) 40glox = 2 + (-2 * glo + x * glo) 40glox = 2 + (-2glo + glox) Solving 40glox = 2 + -2glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glo' to each side of the equation. 2glo + 40glox = 2 + -2glo + 2glo + glox Combine like terms: -2glo + 2glo = 0 2glo + 40glox = 2 + 0 + glox 2glo + 40glox = 2 + glox Add '-1glox' to each side of the equation. 2glo + 40glox + -1glox = 2 + glox + -1glox Combine like terms: 40glox + -1glox = 39glox 2glo + 39glox = 2 + glox + -1glox Combine like terms: glox + -1glox = 0 2glo + 39glox = 2 + 0 2glo + 39glox = 2 Reorder the terms: -2 + 2glo + 39glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 2glo + 39glox = 0 The solution to this equation could not be determined.
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