The number of integral values of $k$, for which one root of the equation $2x^2-8x+k=0$ lies in the interval $\left(1,2\right)$ and its other root lies in the interval $\left(2,3\right)$, is : 

Let $\lambda \ne 0$ be in $R.$ If $\alpha$ and $\beta$ are the roots of the equation $x^2-x+2\lambda =0,$ and $\alpha$ and $\gamma$ are the roots of the equation $3x^2-10x+27\lambda =0,$ then $\frac{\beta \gamma }{\lambda }$ is equal to ________.

The sum of the roots of the equation, $x+1-2{\log }_2\left(3+2^x\right)+2{\log }_4\left(10-2^{-x}\right)=0,$ is :