+0  
 
0
44
1
avatar

The function f(x) = ax^r satisfies f(2) = 1 and f(64) = 4. Find r.

 Sep 29, 2020
 #1
avatar+27847 
+1

a 2^r = 1      and   a 64^r = 4

2^r = 1/a                   (2^6)^r = 4/a

                                 (2^r)^6 = 4/a

                                   (1/a)^6 = 4/a

                                    1 = a^6 * 4/a  = 4a

                                            a = (1/4)1/5 = .757858283

 

 

then    a 64r = 4

.757858283 *  64r = 4   

     r = .4   

 Sep 29, 2020

14 Online Users

avatar
avatar