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

If $\log _{10} 50+\log _{10} 20=x,$ then $x$ is equal to

If $3^{x-2}=5$ and $\log_{10} 2=0.30103, \log_{10} 3=0.4771$,then $x=$

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 $\frac{\log x}{l+m-2n} = \frac{\log y}{m+n-2l} = \frac{\log z}{n+l-2m}$,find the value of $x^2 y^2 z^2$.

If $a^{x} = b^{y}$,then