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Simplifying 4 + log(8x) = 25 + -2log(x) Remove parenthesis around (8x) 4 + glo * 8x = 25 + -2log(x) Reorder the terms for easier multiplication: 4 + 8glo * x = 25 + -2log(x) Multiply glo * x 4 + 8glox = 25 + -2log(x) Multiply glo * x 4 + 8glox = 25 + -2glox Solving 4 + 8glox = 25 + -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. 4 + 8glox + 2glox = 25 + -2glox + 2glox Combine like terms: 8glox + 2glox = 10glox 4 + 10glox = 25 + -2glox + 2glox Combine like terms: -2glox + 2glox = 0 4 + 10glox = 25 + 0 4 + 10glox = 25 Add '-4' to each side of the equation. 4 + -4 + 10glox = 25 + -4 Combine like terms: 4 + -4 = 0 0 + 10glox = 25 + -4 10glox = 25 + -4 Combine like terms: 25 + -4 = 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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