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Simplifying 8 + log(8x) = 29 + -2log(x) Remove parenthesis around (8x) 8 + glo * 8x = 29 + -2log(x) Reorder the terms for easier multiplication: 8 + 8glo * x = 29 + -2log(x) Multiply glo * x 8 + 8glox = 29 + -2log(x) Multiply glo * x 8 + 8glox = 29 + -2glox Solving 8 + 8glox = 29 + -2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glox' to each side of the equation. 8 + 8glox + 2glox = 29 + -2glox + 2glox Combine like terms: 8glox + 2glox = 10glox 8 + 10glox = 29 + -2glox + 2glox Combine like terms: -2glox + 2glox = 0 8 + 10glox = 29 + 0 8 + 10glox = 29 Add '-8' to each side of the equation. 8 + -8 + 10glox = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 10glox = 29 + -8 10glox = 29 + -8 Combine like terms: 29 + -8 = 21 10glox = 21 Divide each side by '10lox'. g = 2.1l-1o-1x-1 Simplifying g = 2.1l-1o-1x-1
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