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.
SEASONS 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. @ganeshie8

Question

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.
SEASONS    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. @ganeshie8

mitu12 · Answer

season 5 he will score 243 runs

apolloschariot · Answer

@mitu12, you didn't really explain how to do the problem. i think that just giving answers is against the rules here

anonymous · Answer

how @mitu12

mitu12 · Answer

If we use N to represent the number of games (the first column) and then R to represent the number of runs scored then we can write R as 3^1, 3^2, 3^3 and we want to know n if 3^n = 243, so take logs of both sides and nlog 3 = log 243 so divide by log 3 and we get n = (log 243)/(log 3) = 5