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Simplifying log[5](1 + x) = 1 + log[5] * x Reorder the terms for easier multiplication: 5glo(1 + x) = 1 + log[5] * x (1 * 5glo + x * 5glo) = 1 + log[5] * x (5glo + 5glox) = 1 + log[5] * x Reorder the terms for easier multiplication: 5glo + 5glox = 1 + 5glo * x Multiply glo * x 5glo + 5glox = 1 + 5glox Add '-5glox' to each side of the equation. 5glo + 5glox + -5glox = 1 + 5glox + -5glox Combine like terms: 5glox + -5glox = 0 5glo + 0 = 1 + 5glox + -5glox 5glo = 1 + 5glox + -5glox Combine like terms: 5glox + -5glox = 0 5glo = 1 + 0 5glo = 1 Solving 5glo = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '5lo'. g = 0.2l-1o-1 Simplifying g = 0.2l-1o-1
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