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{"sheet":"LogGrowth","index":0,"n_rows":28,"n_cols":20,"rows_kept":28,"cut":false,"hidden":false,"merged":[]}
[null,null,null,"         Logarithmic Growth"]
[]
[null,null,null," This DIGMath module lets you investigate the"]
[null,null,null,"         \"cost\" for the logarithmic function"]
[]
[]
[null,null,null,"                to increase by 1 unit."]
[]
[]
[null,null,null,"Select a point t0 (from 0.1 to 10):",{"$f":"G10/10","v":2.1},62,21]
[]
[null,null,null,"                           then  y0 = log(t0) =",{"$f":"LOG(x0)","v":0.3222192947339193}]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"   Starting at t0 =",null,{"$f":"x0","v":2.1},"where log (",null,{"$f":"x0","v":2.1},") =",{"$f":"LOG(x0)","v":0.3222192947339193}]
["Click each item below for suggestions and investigations",null,null,null,null,null," ",null,null,null,null,null,null,"In order for the logarathmic function "]
[null,null,null,"   Item 1",null,null,null,null,null,null,null,null,null,"        to gain 1 unit in height to y =",null,null,null,null,null,{"$f":"y0+1","v":1.3222192947339193}]
[null,null,null,"   Item 2",null,null,null,null,null,null,null,null,null,"        requires going as far as t =",null,null,null,null,null,{"$f":"x00","v":21}]
[null,null,null,"   Item 3"]
[]
[]
[]
["Created by:  Sheldon P. Gordon"]
["                     Farmingdale StateCollege"]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]

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[0.7,-0.15490195998574319]
[0.79999999999999993,-9.6910013008056448E-2,null,null,null,null,null,null,"End Point",{"$f":"10*x0","v":21},{"$f":"y0+1","v":1.3222192947339193}]
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