Logarithm and A...

The value of the expression $$\displaystyle\dfrac{(\log x - \log y)(\log x^{2} + \log y^{2})}{(\log x^{2} - \log y^{2})(\log x + \log y)}$$ is equal to

If $$ \log_{10} x = a$$ and $$ \log_{10} y = b$$, then $$10^{a-1}$$ in terms of $$x$$ will be

If $$ 3^{\log_{4}{x}}=27$$, then $$x$$ is equal to

The value of $$\log_418$$ is equal to

Evaluate the expression by using logarithm tables: $$ \dfrac{(17.42)^{2/{3}}\times 18.42}{\sqrt{126.37}}$$

If $$ \log_{10} x = a$$ and $$ \log_{10} y = b$$, then $$10^{2b}$$ in terms of $$y$$ is equal to 

The number $$\displaystyle N= 6 \log_{10}2+\log _{10}31 $$ lies between two successive integers whose  sum is equal to:

If $$\log 3 = 0.477$$ and $$(1000)^x = 3$$, then the value of $$x$$ will be

If $$\log_{5} x = y$$, then value of $$5^{5y}$$ is equal to

The value of $$x$$ satisfying the logarithm $$\log_{243} x = 0.8$$ is equal to