document.write( "Question 70879: How would you find the logarithmic or exponential equation of the graph, when one of the points is (4,1) and the other is at (1,0)?\r
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Algebra.Com's Answer #50868 by ankor@dixie-net.com(22740)\"\" \"About 
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How would you find the logarithmic or exponential equation of the graph, when one of the points is (4,1) and the other is at (1,0)?
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\n" ); document.write( "This looks like a logarithmic function (x increases much faster than y)
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\n" ); document.write( "It's easier to find the exponential function which is the inverse of this
\n" ); document.write( "Reverse the x,y values: 1,4 and 0,1
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\n" ); document.write( "y = b^x
\n" ); document.write( "4 = b^1
\n" ); document.write( "b = 4
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\n" ); document.write( "Check it using coordinates 0,1
\n" ); document.write( "y = 4^0
\n" ); document.write( "y = 1
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\n" ); document.write( "the inverse of of an exponential function:
\n" ); document.write( "y = logb(x) and is the logarithmic function
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\n" ); document.write( "y = log(base 4)(x)
\n" ); document.write( "x = 4^y
\n" ); document.write( "4 = 4^1
\n" ); document.write( "and
\n" ); document.write( "1 = 4^0\r
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