perplexus.info :: Just Math : What BIG is bigger?

What BIG is bigger? (Posted on 2023-07-03)

BIG1=63^9
BIG2=33^11

Which of the BIGs is bigger?

No calculating aids, just p&p

See The Solution Submitted by Ady TZIDON

No Rating

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

Solution

| Comment 2 of 4 |

A classic high school math challenge. Create a compound inequality comparing various exponential numbers:

63^9 < 64^9 = (2^6)^9 = 2^54 < 2^55 = (2^5)^11 = 32^11 < 33^11

Now just take the extreme left and right sides to get 63^9 < 33^11.

Posted by Brian Smith on 2023-07-03 09:05:37

Please log in:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info