SOLUTION: Dear Tutor Could you please help me with this investigation question from an old Maths Textbook? Please solve this inequation: {{{ 3^x > x^3 }}} The book only gives the

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Question 134588: Dear Tutor
Could you please help me with this investigation question from an old Maths Textbook?
Please solve this inequation:


The book only gives the answer: . I tried to use "log" or "cube roots" to find out x but it seemed neither of them helped. Therefore, could you please show me how do you get ? Thank you in advance. :-)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
3^x > x^3
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Graph the left side and the right side separately on the same set of axes:

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Observe where 3^x is above x^3:
Ans: x< 2.4780527...
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I graphed them on a TI calculator so I could better analyze the problem.
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Cheers,
Stan H.

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