Question

Using the fact that 2^10=1024, Tyler estimates that 2^20 is about 1,000,000, and log2(1,000,000) is about 20. Do you agree with Tyler?

Answer 1

I agree with Tyler's estimates.

2^20 = 1,048,576

Explanation:

We can check Tyler's estimate by calculating 2^20 and taking the base-2 logarithm of the result:

2^20 = 1,048,576

log2(1,048,576) = 20

Tyler knows that 2 multiplied by itself 10 times is 1024.

He thinks that 2 multiplied by itself 20 times is about 1,000,000.

He also thinks that the log of 1,000,000 is about 20.

I agree with Tyler's estimates.

I hope this is helpful! Let me know if you have any other questions.

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