If $\log _{x} y=100$ and $\log _{2} x=10,$ then the value of $y$ is

If $\log _{10} 87.5 = 1.9421$,then the number of digits in $(875)^{10}$ is

If $\log_{10} 2 = 0.3010$ and $\log_{10} 3 = 0.4771$,then the number of zeros between the decimal point and the first significant figure in $(0.0432)^{10}$ is:

If $\log _{10} 2 = 0.3010$ and $\log _{10} 7 = 0.8451,$ then the value of $\log _{10} 2.8$ is

If $(4.2)^{x} = (0.42)^{y} = 100$,then $\frac{1}{x} - \frac{1}{y} = $

$\frac{\log \sqrt{8}}{\log 8}$ is equal to