Logarithms · Mathematics · NDA

If $\log _b a=p, \log _d c=2 p$ and $\log _f e=3 p$, then what is $(a c e)^{\frac{1}{p}}$ equal to ?

What is the number of solutions of $\log_4(x - 1) = \log_2(x - 3)$?

For $x \geq y > 1$, let $\log_x\left( \frac{x}{y} \right) + \log_y\left(\frac{y}{x}\right) = k$, then the value of $k$ can never be equal to :

What is the minimum value of the function f(x) = log10(x2 + 2x + 11) ?...

If f(x) = ln (x + $\sqrt{1+\text{x}^2}$), then which one of the following is correct ?...

A radioactive substance decays at a rate proportional to the amount of substance present. If half of the substance decays in 100 years, then what is t...