Logarithms - Algebra - Mathematics Previous Year Questions

Bismath has half life period of 5 days. A sample originally has a mass of 1000 mg, then the mass of Bismath after 30 days is

If the population grows at the rate of \(8 \%\) per year, then the time taken for the population to be doubled is

(Given \(\log 2=0.6912\))

If \(\log _2 x+\log _4 x+\log _8 x+\log _{16} x=\frac{25}{36}\) and \(x=2^{\mathrm{k}}\) then \(\mathrm{k}\) is

The approximate value of \(\log _{10} 998\) is (given that \(\log _{10} \mathrm{e}=0.4343\) )

The approximate value of $3^{2.001}$, if $\log 3=1.0986$ is

The approximate value of $\log _{10} 1002$ is (Given $\log _{10} \mathrm{e}=0.4343$)

If $f(x)=\log _e\left(\frac{1-x}{1+x}\right),|x|<1$, then $f\left(\frac{2 x}{1+x^2}\right)$ is equal to

If $y=\log _3\left(\log _3 x\right)$ then $\frac{\mathrm{d} y}{\mathrm{~d} x}$ at $x=3$ is $\ldots \ldots$

If $p^3=q^4=r^6=t^7=s^2$, then $\log _t(p q r s)=\ldots \ldots$

The money invested in a company is compounded continuously. If $Rs\, 400$ invested today becomes ₹800 in 6 years, then at the end of 30 years, it will become (in ₹)