If the area of the region $\begin{cases}(x,y):\frac{a}{x^2}≤ y ≤\frac{1}{x},1≤x≤2,0 < a < 1 \end{cases}$ is ${(log_e⁡2)}-\frac{1}{7}$ then the value of $7a-3$ is equal to - Math Practice Question | divineJEE

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If the area of the region $\begin{cases}(x,y):\frac{a}{x^2}≤ y ≤\frac{1}{x},1≤x≤2,0 < a < 1 \end{cases}$ is ${(log_e⁡2)}-\frac{1}{7}$ then the value of $7a-3$ is equal to

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