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Simplifying loge(x) + loge(3x + 4) = 2loge(2) Multiply eglo * x eglox + loge(3x + 4) = 2loge(2) Reorder the terms: eglox + eglo(4 + 3x) = 2loge(2) eglox + (4 * eglo + 3x * eglo) = 2loge(2) eglox + (4eglo + 3eglox) = 2loge(2) Reorder the terms: 4eglo + eglox + 3eglox = 2loge(2) Combine like terms: eglox + 3eglox = 4eglox 4eglo + 4eglox = 2loge(2) Reorder the terms for easier multiplication: 4eglo + 4eglox = 2 * 2eglo Multiply 2 * 2 4eglo + 4eglox = 4eglo Add '-4eglo' to each side of the equation. 4eglo + -4eglo + 4eglox = 4eglo + -4eglo Combine like terms: 4eglo + -4eglo = 0 0 + 4eglox = 4eglo + -4eglo 4eglox = 4eglo + -4eglo Combine like terms: 4eglo + -4eglo = 0 4eglox = 0 Solving 4eglox = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Divide each side by '4'. eglox = 0 Simplifying eglox = 0 The solution to this equation could not be determined.
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