Solve For n

  • MHB
  • Thread starter mathland
  • Start date
  • #1
mathland
33
0
FB_IMG_1611871498538.jpg


I say we take the log on both sides as step one.

Yes?
 

Answers and Replies

  • #3
HOI
923
2
The first thing I would do is start dividing 343 by 7! 343- 40(7)= 343- 280= 63= 9(7) so \(\displaystyle 343= 7(49)= 7(7)(7)= 7^3\). \(\displaystyle \sqrt{343}= 7^{3/2}\) so \(\displaystyle 7^{2n}= 7^{3/2}\) so \(\displaystyle 2n= 3/2\), n= 3/4.

No logarithms necessary!
 
  • #4
mathland
33
0
The first thing I would do is start dividing 343 by 7! 343- 40(7)= 343- 280= 63= 9(7) so \(\displaystyle 343= 7(49)= 7(7)(7)= 7^3\). \(\displaystyle \sqrt{343}= 7^{3/2}\) so \(\displaystyle 7^{2n}= 7^{3/2}\) so \(\displaystyle 2n= 3/2\), n= 3/4.

No logarithms necessary!

Nicely done! It pays to know math tricks.
 
  • #5
jonah1
108
0
Beer soaked non sequitur ramblings follow.
Nicely done! It pays to know math tricks.
A man's mind stretched by a new idea can never go back to its original dimension.
 
  • #6
HOI
923
2
I don't think I would consider factoring a "trick".
 
  • #7
mathland
33
0
I don't think I would consider factoring a "trick".

I meant to say skill not trick.
 

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