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Simplifying 1 + log[5](-2x) = 2 Remove parenthesis around (-2x) 1 + glo * 5 * -2x = 2 Reorder the terms for easier multiplication: 1 + 5 * -2glo * x = 2 Multiply 5 * -2 1 + -10glo * x = 2 Multiply glo * x 1 + -10glox = 2 Solving 1 + -10glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10glox = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -10glox = 2 + -1 -10glox = 2 + -1 Combine like terms: 2 + -1 = 1 -10glox = 1 Divide each side by '-10lox'. g = -0.1l-1o-1x-1 Simplifying g = -0.1l-1o-1x-1
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