This is my final essay and I really need help!

A baseball player has been improving every season since making it to the big leagues. Below is a table of the runs he has scored. His manager wants to try to determine when he will score 1024 runs.

Season Runs
1 4
2 16
3 64
Explain how to create the exponential function that represents his run-scoring abilities. Then explain how to convert this function into a logarithmic function and why this can help the manager answer his question.

Question

This is my final essay and I really need help!


A baseball player has been improving every season since making it to the big leagues. Below is a table of the runs he has scored. His manager wants to try to determine when he will score 1024 runs.


Season                Runs
1                          4
2                         16
3                          64 
Explain how to create the exponential function that represents his run-scoring abilities. Then explain how to convert this function into a logarithmic function and why this can help the manager answer his question.

anonymous · Answer

Ah. So, do you notice how the runs are powers of 4? :)

anonymous · Answer

yes I do  however how would I show that in terms of exponential function?

anonymous · Answer

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Do you get the pattern?