# SOLUTION: For which value(s) of r does there exist a power function (y= Cx^r) passing through the points (1, 1/8) and (5, 9/2). I tried setting them both equal to C and then solving for r

Algebra ->  -> SOLUTION: For which value(s) of r does there exist a power function (y= Cx^r) passing through the points (1, 1/8) and (5, 9/2). I tried setting them both equal to C and then solving for r      Log On

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 Click here to see ALL problems on Exponential-and-logarithmic-functions Question 350281: For which value(s) of r does there exist a power function (y= Cx^r) passing through the points (1, 1/8) and (5, 9/2). I tried setting them both equal to C and then solving for r, but the r's cancelled.Answer by jim_thompson5910(29613)   (Show Source): You can put this solution on YOUR website!The point (1, 1/8) means that x=1 and y=1/8. Plug these values in to get and simplify to get So the equation is now . The point (5, 9/2) means that x=5 and y=9/2. Plug these values in to get Then multiply both sides by 8 to get and then solve for 'r' to get