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
