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

If $a^{2}+b^{2}=c^{2},$ then $\frac{1}{\log _{c+a} b}+\frac{1}{\log _{c-a} b}=$

If $\log _{10}\left[98+\sqrt{x^{2}-12 x+36}\right]=2,$ then $x=$

Evaluate: $\frac{\log \sqrt{27}+\log \sqrt{1000}+\log 8}{\log 120}$

If $\frac{\log x}{a^{2}+a b+b^{2}}=\frac{\log y}{b^{2}+b c+c^{2}}=\frac{\log z}{c^{2}+c a+a^{2}}$,then $x^{a-b} \cdot y^{b-c} \cdot z^{c-a}=$

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