Aaden Lam

Answered

2022-01-22

Comparing Powers of Different Bases

How can I know if one power is bigger than the other when the bases are different?

For example, considering$2}^{10$ and $10}^{3$ the former is the greater one, but how to prove this? Logarithms? I'll be working with big numbers, and though a more general solution is really appreciated, I will be comparing exactly powers of $2$ and $10$ .

How can I know if one power is bigger than the other when the bases are different?

For example, considering

Answer & Explanation

Tyrn7i

Expert

2022-01-23Added 11 answers

So which is bigger

Let's see

(no calculator required).

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