Find the value of kkk, where 1<k<91<k<91<k<9, such that ∫1k10x dx=∫k910x dx\displaystyle\int_1^k\dfrac{10}{\sqrt{x}}\,dx=\int_k^9\dfrac{10}{\sqrt{x}}\,dx∫1kx10dx=∫k9x10dx.