mathland
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I say we take the log on both sides as step one.
Yes?
Country Boy said:The first thing I would do is start dividing 343 by 7! 343- 40(7)= 343- 280= 63= 9(7) so [math]343= 7(49)= 7(7)(7)= 7^3[/math]. [math]\sqrt{343}= 7^{3/2}[/math] so [math]7^{2n}= 7^{3/2}[/math] so [math]2n= 3/2[/math], n= 3/4.
No logarithms necessary!
A man's mind stretched by a new idea can never go back to its original dimension.mathland said:Nicely done! It pays to know math tricks.
Country Boy said:I don't think I would consider factoring a "trick".