Question 446668
y = -log(3x)+2
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{{{graph(400,300,-10,10,-10,10,-(ln(3x)/ln(10))+2)}}}
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Determine the inverse:
1st: Interchange x and y.
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x = -log(3y)+2
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2nd: Solve for "y":
-log(3y) = x-2
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log(3y) = 2-x
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3y = 10^(2-x)
y = (1/3)*10^(2-x)
{{{graph(400,300,-10,10,-10,10,(1/3)10^(2-x))}}}
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That is the inverse function.
3rd: Graph both on the same set of axes:
{{{graph(400,300,-10,10,-10,10,-(ln(3x)/ln(10))+2,(1/3)10^(2-x))}}}
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Cheers,
Stan H.