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Simplifying g(x) = ln[(7x + 4) * 5] Multiply g * x gx = ln[(7x + 4) * 5] Reorder the terms: gx = ln[(4 + 7x) * 5] Reorder the terms for easier multiplication: gx = ln[5(4 + 7x)] gx = ln[(4 * 5 + 7x * 5)] gx = ln[(20 + 35x)] gx = [20 * ln + 35x * ln] gx = [20ln + 35lnx] Solving gx = 20ln + 35lnx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by 'x'. g = 20lnx-1 + 35ln Simplifying g = 20lnx-1 + 35ln Reorder the terms: g = 35ln + 20lnx-1
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