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Simplifying log[5](6) + log[5](x) = log[5](8) + log[5](x + -5) Reorder the terms for easier multiplication: 5 * 6glo + log[5](x) = log[5](8) + log[5](x + -5) Multiply 5 * 6 30glo + log[5](x) = log[5](8) + log[5](x + -5) Reorder the terms for easier multiplication: 30glo + 5glo * x = log[5](8) + log[5](x + -5) Multiply glo * x 30glo + 5glox = log[5](8) + log[5](x + -5) Reorder the terms for easier multiplication: 30glo + 5glox = 5 * 8glo + log[5](x + -5) Multiply 5 * 8 30glo + 5glox = 40glo + log[5](x + -5) Reorder the terms: 30glo + 5glox = 40glo + glo * 5(-5 + x) Reorder the terms for easier multiplication: 30glo + 5glox = 40glo + 5glo(-5 + x) 30glo + 5glox = 40glo + (-5 * 5glo + x * 5glo) 30glo + 5glox = 40glo + (-25glo + 5glox) Combine like terms: 40glo + -25glo = 15glo 30glo + 5glox = 15glo + 5glox Add '-5glox' to each side of the equation. 30glo + 5glox + -5glox = 15glo + 5glox + -5glox Combine like terms: 5glox + -5glox = 0 30glo + 0 = 15glo + 5glox + -5glox 30glo = 15glo + 5glox + -5glox Combine like terms: 5glox + -5glox = 0 30glo = 15glo + 0 30glo = 15glo Solving 30glo = 15glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-15glo' to each side of the equation. 30glo + -15glo = 15glo + -15glo Combine like terms: 30glo + -15glo = 15glo 15glo = 15glo + -15glo Combine like terms: 15glo + -15glo = 0 15glo = 0 Divide each side by '15'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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