Past exam of the year 1 of the computer science course of the University of Oxford / 2019 / Discrete mathematics, continuous mathematics, and probability resit / 5 / a / ii

Use $f(x)=x{\log }_{2}x-4$. Then $f(1)=-4$, $f(2)=-2$, and the secant method givesWriting $L={\log }_{2}3$, the next step isThus the requested approximation is $x_3=2.73$ to three significant figures. All intermediate logarithms should be retained at higher precision before this final rounding.