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Simplifying 1 + log(8x) = 22 + -2log(x) Remove parenthesis around (8x) 1 + glo * 8x = 22 + -2log(x) Reorder the terms for easier multiplication: 1 + 8glo * x = 22 + -2log(x) Multiply glo * x 1 + 8glox = 22 + -2log(x) Multiply glo * x 1 + 8glox = 22 + -2glox Solving 1 + 8glox = 22 + -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. 1 + 8glox + 2glox = 22 + -2glox + 2glox Combine like terms: 8glox + 2glox = 10glox 1 + 10glox = 22 + -2glox + 2glox Combine like terms: -2glox + 2glox = 0 1 + 10glox = 22 + 0 1 + 10glox = 22 Add '-1' to each side of the equation. 1 + -1 + 10glox = 22 + -1 Combine like terms: 1 + -1 = 0 0 + 10glox = 22 + -1 10glox = 22 + -1 Combine like terms: 22 + -1 = 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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