If $\log _{10} 2986 = 3.4751$,then $\log _{10} 0.02986 =$

If $\log x : 3 = \log y : 4 = \log z : 5$,then $zx =$

If $\log _{8} p=2.5$ and $\log _{2} q=5$,then $p$ in terms of $q$ is

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

$\log _{5}\left(1+\frac{1}{5}\right)+\log _{5}\left(1+\frac{1}{6}\right)+\log _{5}\left(1+\frac{1}{7}\right)+\cdots+\log _{5} \left(1+\frac{1}{624}\right)$

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 $x^{a-b} \cdot y^{b-c} \cdot z^{c-a}=$