Let's say we have two numbers represented as a "tower" of exponentials, a^b^c^d and w^x^y^z (powers calculated right to left) and we want to compare them, not necessarily calculating their values. Their values are so huge, they can't be represented on a computer or calculator. Is it possible to use logarithms to compare them? I know that it is possible for a simple case, say, a^b and x^y. We can apply log to both sides and then compare b log a and y log x. But what about nested powers? We can represent log(a^b^c) as b^c log a. But what if b^c is still huge. Can we continue and end up with something like c* log(b) * log(a)? A quick test shows that this is probably not going to work. Any ideas? Thanks(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# B How to compare two huge numbers with nested exponentials?

Tags:

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - compare huge numbers | Date |
---|---|

I Comparing two absolute value equations | Feb 4, 2018 |

B Comparing gradient | Jan 26, 2018 |

Decision maker equation (comparing 3 variables) | Aug 11, 2016 |

How to compare powers | Dec 31, 2015 |

Request for Huge List of Mathematics Ebooks | Dec 12, 2014 |

**Physics Forums - The Fusion of Science and Community**