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Simplifying log[2](4x) = 2 + -1log[2](x) Remove parenthesis around (4x) glo * 2 * 4x = 2 + -1log[2](x) Reorder the terms for easier multiplication: 2 * 4glo * x = 2 + -1log[2](x) Multiply 2 * 4 8glo * x = 2 + -1log[2](x) Multiply glo * x 8glox = 2 + -1log[2](x) Reorder the terms for easier multiplication: 8glox = 2 + -1 * 2glo * x Multiply -1 * 2 8glox = 2 + -2glo * x Multiply glo * x 8glox = 2 + -2glox Solving 8glox = 2 + -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. 8glox + 2glox = 2 + -2glox + 2glox Combine like terms: 8glox + 2glox = 10glox 10glox = 2 + -2glox + 2glox Combine like terms: -2glox + 2glox = 0 10glox = 2 + 0 10glox = 2 Divide each side by '10lox'. g = 0.2l-1o-1x-1 Simplifying g = 0.2l-1o-1x-1
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