Why is log(x) ≤ x - 1 for All x?

  • Level: Undergrad 
  • Thread starter Thread starter esrak23
  • Start date Start date
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
2 replies · 4K views
esrak23
Messages
2
Reaction score
0
Why was logx less than or equal to x-1 for all x?
Thanks in advance for your help!
 
Mathematics news on Phys.org
Compare the value of log(x) and x-1 at x=1.
Then compare the derivatives of these two fubctions and reach an interesting conclusion.