Let $S$ be the sum of the digits of the number $15^2 \times 5^{18}$ in base $10$. Then,
$S < 6$
$6 \leq S < 140$
$140 \leq S < 148$
$S \geq 148$
If ${{\log x} \over {b - c}} = {{\log y} \over {c - a}} = {{\log z} \over {a - b}},$ then which of the following is true
If ${\log _{10}}3 = 0.477$, the number of digits in ${3^{40}}$ is
The sum $\sum \limits_{n=1}^{\infty} \frac{2 n^2+3 n+4}{(2 n) !}$ is equal to :
If $x = {\log _3}5,\,\,\,y = {\log _{17}}25,$ which one of the following is correct
If $n = 1983!$, then the value of expression $\frac{1}{{{{\log }_2}n}} + \frac{1}{{{{\log }_3}n}} + \frac{1}{{{{\log }_4}n}} + ....... + \frac{1}{{{{\log }_{1983}}n}}$ is equal to