Math - Logarithmic

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

log_a(a^3) --- base = a
a^3 = a

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

10^5 = 100 000

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  1. I am uncertain what your question is.

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

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