Integral Calculus (id: fba2cf643)

本题目来源于试卷: Integral Calculus，类别为 IB数学

[问答题]
1. Show that 3 ${\log }_{a^3}x={\log }_a$ x where a, x $\in {\mathbb{R}}^{+}$.

It is given that ${\log }_{2}y+{\log }_{8}4x^2+{\log }_{8}2x=0$ .
2. Express y in terms of x . Give your answer in the form $y=b{x}^c$ where b, c are constants.

The region R , is bounded by the graph of the function found in part (b), the x -axis, and the lines x=1 and x=k where k>1 . The area of R is $\frac{3}{2}$.
3. Find the value of k .

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