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.

**Solution:-**

let the function is

y = a^{x}

where x = number of season

y = number of runs

a = base of the function

now plug in the values from the given table

3 = a^{1}

a = 3