document.write( "Question 1010859: 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 256 runs.\r
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\n" ); document.write( "\n" ); document.write( "Season runs
\n" ); document.write( " 1 2
\n" ); document.write( "2 4
\n" ); document.write( "3 8
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\n" ); document.write( "\n" ); document.write( "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. please use details.
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Algebra.Com's Answer #626329 by fractalier(6550)\"\" \"About 
You can put this solution on YOUR website!
His run total is 2^(season #)...thus 2^8 = 256...his eighth season...
\n" ); document.write( "Since his total goes up by a factor of two each year, we have
\n" ); document.write( "\"y+=+2%5Ex\", a simple exponential function.
\n" ); document.write( "Taking the log to the base two of each side, we get
\n" ); document.write( "\"log%282%29+of+%28y%29+=+x\" and
\n" ); document.write( "\"log%282%29+of+%28256%29+=+x\"
\n" ); document.write( "By taking the log to the base two of 256, he gets 8.
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