Question

If $lo{g}_{10}2=0.30103$, then find the value of $lo{g}_{10}50.$ $\left[2\text{Marks}\right]$

Answer 1

$lo{g}_{10}50$

$=lo{g}_{10}\frac{100}{2}$

$=lo{g}_{10}{10}^2-lo{g}_{10}2$ $\left[0.5\text{Marks}\right]$

$=2lo{g}_{10}10-lo{g}_{10}2$ $\left[0.5\text{Marks}\right]$

$=2\left(1\right)-lo{g}_{10}2$ $\left[0.5\text{Marks}\right]$

$=2-0.30103=1.69897$ $\left[0.5\text{Marks}\right]$