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Simplifying log(15 * 15) = 2 + log(4x) + -1log(5 + -1x) Multiply 15 * 15 glo(225) = 2 + log(4x) + -1log(5 + -1x) Reorder the terms for easier multiplication: 225glo = 2 + log(4x) + -1log(5 + -1x) Remove parenthesis around (4x) 225glo = 2 + glo * 4x + -1log(5 + -1x) Reorder the terms for easier multiplication: 225glo = 2 + 4glo * x + -1log(5 + -1x) Multiply glo * x 225glo = 2 + 4glox + -1log(5 + -1x) 225glo = 2 + 4glox + (5 * -1glo + -1x * -1glo) 225glo = 2 + 4glox + (-5glo + 1glox) Reorder the terms: 225glo = 2 + -5glo + 4glox + 1glox Combine like terms: 4glox + 1glox = 5glox 225glo = 2 + -5glo + 5glox Solving 225glo = 2 + -5glo + 5glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5glo' to each side of the equation. 225glo + 5glo = 2 + -5glo + 5glo + 5glox Combine like terms: 225glo + 5glo = 230glo 230glo = 2 + -5glo + 5glo + 5glox Combine like terms: -5glo + 5glo = 0 230glo = 2 + 0 + 5glox 230glo = 2 + 5glox Add '-5glox' to each side of the equation. 230glo + -5glox = 2 + 5glox + -5glox Combine like terms: 5glox + -5glox = 0 230glo + -5glox = 2 + 0 230glo + -5glox = 2 Reorder the terms: -2 + 230glo + -5glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 230glo + -5glox = 0 The solution to this equation could not be determined.
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