Please help, it is greatly appreciated!
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 243 runs.

Season Runs
1 3
2 9
3 27

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

Please help, it is greatly appreciated!
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 243 runs.

Season      Runs
1                 3
2                 9
3                 27

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

@robtobey

anonymous · Answer

Refer to the attached calculation using Mathematica 9.

anonymous · Answer

So he will achieve 243 runs in season 5? Thank you. Can you help me  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

@robtobey please help me convert this function (3^s=243) into a logarithmic function

anonymous · Answer

Does the attachment help?

anonymous · Answer

Yes! Can I substitute 5 for the Log runs and set up the logarithmic function as Log 3^s = Log 5?

anonymous · Answer

Sorry, I have to sign off now.