Power Problem

 

Estimating the value of log 3 in base 2

I have come across with this mind-blowing problem and its solution here. 

Which is larger?

Rich Tasks 64: Introduction to Logs

Rich Task 61: Exponents and Personal Life

inspired from 

Rich Tasks 58: Cubic Sums

In 1939, L. E. Dickson proved that all positive integers can be represented as the sum of at most 9 positive cubes. Interestingly, only two numbers exist that require all 9 cubes: 23 and 239 pic.twitter.com/ii93g0RqrB

— Fermat's Library (@fermatslibrary) July 12, 2019

Each group will write the given numbers using cubes from 1 to 9. The first group to finish will be the winner!

48
980
763
227
341

Rich Tasks 56: Powers 2

Also look: Different forms of a number
                  Powers 1

Rich Tasks 55: Powers 1

Also look: Different forms of a number

Problem 22: Squares and Cubes Password

Source