- #1
mathland
- 33
- 0
I say we take the log on both sides as step one.
Yes?
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!
A man's mind stretched by a new idea can never go back to its original dimension.Nicely done! It pays to know math tricks.
I don't think I would consider factoring a "trick".