Sarvesh K Verma Solutions for Chapter: Logarithm, Exercise 2: CAT - Test Questions Helping You Bell the CAT

The value of $\log (\mathrm{ab}{)}^2-\log (\mathrm{ac})+\log \left({\mathrm{bc}}^4\right)-3\log (\mathrm{bc})$ is :

If ${\log }_{\mathrm{q}}\left(\mathrm{xy}\right)=3$ and ${\log }_{\mathrm{q}}\left({\mathrm{x}}^2{\mathrm{y}}^3\right)=4$, find the value of ${\log }_{\mathrm{q}}\mathrm{x}$

If $\mathrm{u}={\mathrm{v}}^2={\mathrm{w}}^3={\mathrm{z}}^4$, then ${\log }_{\mathrm{u}}\left(\mathrm{uvwz}\right)$ is equal to :

Find the value of $\mathrm{x}$ for ${\log }_{\mathrm{x}}2.{\log }_{\mathrm{x}/16}2={\log }_{\mathrm{x}/64}2:$

$\log 12900$ is equal to :

$\log 0.786$ is equal to :

For a positive real $\mathrm{x}(\mathrm{x}>1)$, which one of the following is correct?

The solution set of $|3-4 \mathrm{x}|>2$ is :