perplexus.info :: Just Math : Real Values Satisfaction

Real Values Satisfaction (Posted on 2024-10-01)

Determine all possible real values of n that satisfy this equation:

           nⁿ = 81√6/32.

No Solution Yet Submitted by K Sengupta

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

soln

| Comment 6 of 7 |

81 6^(1/2) / 32

= 3^4 3^(1/2) / [2^5 2^(-1/2) ]

= 3^(9/2) / 2^(9/2)

= 9^(9/4) / 4^(9/4) = (9/4) ^ (9/4) QED

(I was helped by knowing the answer)

Edited on October 2, 2024, 8:01 am

Posted by Steven Lord on 2024-10-02 07:59:01

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (15)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info