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Simplifying log[4](x + 13) + -1log[4](x + -2) = 2 Reorder the terms: glo * 4(13 + x) + -1log[4](x + -2) = 2 Reorder the terms for easier multiplication: 4glo(13 + x) + -1log[4](x + -2) = 2 (13 * 4glo + x * 4glo) + -1log[4](x + -2) = 2 (52glo + 4glox) + -1log[4](x + -2) = 2 Reorder the terms: 52glo + 4glox + -1glo * 4(-2 + x) = 2 Reorder the terms for easier multiplication: 52glo + 4glox + -1 * 4glo(-2 + x) = 2 Multiply -1 * 4 52glo + 4glox + -4glo(-2 + x) = 2 52glo + 4glox + (-2 * -4glo + x * -4glo) = 2 52glo + 4glox + (8glo + -4glox) = 2 Reorder the terms: 52glo + 8glo + 4glox + -4glox = 2 Combine like terms: 52glo + 8glo = 60glo 60glo + 4glox + -4glox = 2 Combine like terms: 4glox + -4glox = 0 60glo + 0 = 2 60glo = 2 Solving 60glo = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '60lo'. g = 0.03333333333l-1o-1 Simplifying g = 0.03333333333l-1o-1
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