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Simplifying log(x) = 2 + 0.5(log(18) + log(8) + -2log(25)) Multiply glo * x glox = 2 + 0.5(log(18) + log(8) + -2log(25)) Reorder the terms for easier multiplication: glox = 2 + 0.5(18glo + log(8) + -2log(25)) Reorder the terms for easier multiplication: glox = 2 + 0.5(18glo + 8glo + -2log(25)) Reorder the terms for easier multiplication: glox = 2 + 0.5(18glo + 8glo + -2 * 25glo) Multiply -2 * 25 glox = 2 + 0.5(18glo + 8glo + -50glo) Combine like terms: 18glo + 8glo = 26glo glox = 2 + 0.5(26glo + -50glo) Combine like terms: 26glo + -50glo = -24glo glox = 2 + 0.5(-24glo) Remove parenthesis around (-24glo) glox = 2 + 0.5 * -24glo Multiply 0.5 * -24 glox = 2 + -12glo Solving glox = 2 + -12glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '12glo' to each side of the equation. 12glo + glox = 2 + -12glo + 12glo Combine like terms: -12glo + 12glo = 0 12glo + glox = 2 + 0 12glo + glox = 2 Reorder the terms: -2 + 12glo + glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 12glo + glox = 0 The solution to this equation could not be determined.
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