 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2018/paper-1/1/a/solution

Take the base-ten logarithm of both positive sides. The exponentiation rule for logarithms gives

x lo g_{10} 2 = y

, hence

x = \frac{y}{lo g _{10} 2} .

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