\hspace{-16}$Calculate total no. of real solution in $\bf{e ^x = x^n}$\\\\ where $\bf{n\in \mathbb{N}}$
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1 Answers
Dwijaraj Paul Chowdhury
·2013-05-29 00:16:52
Take log on both sides...we get... x=nlogx
By drawing graphs
If n=odd one solution
If n=even, two solutions
- Asish Mahapatra Instead of taking log, it would be better to simply draw the graph of e^x and x^n. (Also use the expansion of e^x).
Your answer is wrong.Upvote·0· Reply ·2013-05-29 08:14:36
- Dwijaraj Paul Chowdhury Suppose we dont take logs.....still by drawing the graph...we see this result....and x^n will have different graphs for different values of n
- Dwijaraj Paul Chowdhury See-- http://oregonstate.edu/instruct/mth251/cq/FieldGuide/polynomial/more.i.html
- Dwijaraj Paul Chowdhury See-- http://oregonstate.edu/instruct/mth251/cq/FieldGuide/polynomial/more.i.html