Let f(x) = log(x). find a value for a such that f(2a) = 2f(a). is there one? show work to justify your answer.

a = 2

Step-by-step explanation:

given

f(x) = log(x)                                              1

and f(2a) = 2f(a)

now,since f(x) = log(x)                

then f(2a) = log(2a)        put x=2a           2

and  f(a) =  log(a)            put x=a             3

now from eq 1 and eq 2 and eq 3

log(2a) =2 log (a)

log(2) + log(a) =2 log (a)                note; Log property log (m x n)= log m+log n

log(2) = 2log(a)-log(a)

log(2) = log(a)

or a= 2

x + 4/7

step-by-step explanation:

use cymath