Integrate : $\int \limits_3^5 \large\frac{\sqrt {\log (x)}}{\log (\theta- x)+ \log (x)}$$dx$

Question

$$\begin {array} {1 1} (a)\;\frac{5}{2} \\ (b)\;\frac{3}{2} \\ (c)\;1 \\ (d)\;\frac{5}{4} \end {array}$$