Is the following correct when restating logs with variables to exponential?

Question

Log:
log_a(a^3) --- base = a
Exp:
a^3 = a

I know when dealing with real numbers, this is what you do:

Log:
log(10^5)
Exp:
10^5 = 100 000

Answer 1

I am uncertain what your question is.

loga (a^3)= 3loga a= 3*1=3