Tag: physics

If the mantissa of $\log 2125 =3.3275$, find the mantissa of $\log21.25$

The logarithm of $0.0625$ to the base $2$ is:

The number of zeros between the decimal point and first significant digit of ${\left(0.036\right)}^{16}$ where $log2=0.301$ and $log3=0.477$

Given $log _{10}2=a$ and $log _{10}3=b$, if $3x+2=25$, the value of x in terms of $a$ and $b$ is $x=(10^{k}+1)$. K=?

Let $N=\dfrac{\log _{3}135}{\log _{15}3}-\dfrac{\log _{3}5}{\log{405}3}$, then $N$ is

If $x=198!$ then value of the expression $\dfrac {1}{\log _{2}x}+\dfrac {3}{\log _{2}x}+...\dfrac {198}{\log _{2}x}$ equals ?

The value of $\dfrac{log _2 24}{log _{96} 2}-\dfrac{log _2192}{log _{12}{2}}$ is

The greatest value of $(4\log _{10}{x}-\log _{2}{(0.0001)})$ for $0 < x < 1$ is

If $P$ is the number of natural numbers whose logarithm to the base $10$ have the characteristic $p$ and $Q$ is the number of natural numbers logarithm of whose reciprocals to the base $10$ have the characteristic $-q$, then find the value of $\log _{10}P-\log _{10}Q$.

Find the number of positive integers which have the characteristic $3$, when the base of the logarithm is $7$.