- Home
- Standard 11
- Mathematics
Basic of Logarithms
easy
Which is the correct order for a given number $\alpha $in increasing order
A
${\log _2}\alpha ,\,{\log _3}\alpha ,\,{\log _e}\alpha ,\,{\log _{10}}\alpha $
B
${\log _{10}}\alpha ,\,{\log _3}\alpha ,{\log _e}\alpha ,{\log _2}\alpha $
C
${\log _{10}}\alpha ,\,{\log _e}\alpha ,\,{\log _2}\alpha ,\,{\log _3}\alpha $
D
${\log _3}\alpha ,\,{\log _e}\alpha ,\,{\log _2}\alpha ,\,{\log _{10}}\alpha $
Solution
(b) Since $10, 3, e, 2$ are in decreasing order.
Obviously, ${\log _{10}}\alpha ,\,{\log _3}\alpha ,\,{\log _e}\alpha ,\,{\log _2}\alpha $ are in increasing order.
Standard 11
Mathematics
