Question

The value of log_a(log_a (a)) is what?

Answer 1

first calculate the inner most function, what is:\[\log_a(a)=?\]

Answer 2

when i try to give a number "a" and solve i get 1, is that right?

Answer 3

\[\log_a(a)=\frac{ \log a }{ \log a }\]

Answer 4

if:\[\log_a(a)=x\implies a=a^x\]therefore what must x=?

Answer 5

1

Answer 6

correct, therefore:\[\log_a(\log_a(a))=\log_a(1)=?\]

Answer 7

remember:\[\log_b(a)=x\implies a=b^x\]

Answer 8

i.e. if\[\log_a(1)=x\]then:\[1=a^x\]therefore x=?

Answer 9

0

Answer 10

perfect! :)

Answer 11

Awesome Thank you :D!!

Answer 12

yw :)