Question

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. $\log_{3}\alpha,\log_{e}\alpha,\log_{2}\alpha,\log_{10}\alpha$

Answer 1

Answer: (B)

$\log_{10}\alpha,\log_{3}\alpha,\log_{e}\alpha,\log_{2}\alpha$

Answer 2

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.