Why is log(x) ≤ x - 1 for All x?

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esrak23
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Why was logx less than or equal to x-1 for all x?
Thanks in advance for your help!
 

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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.
 
oh yeah...that makes sense. thank you!
 

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