Is the Parent Function of y=log3^(x-2)+1 just log3^x or logx

Is the Parent Function of y=log3^(x-2)+1 just log3^x or logx

y=log3(x-2)+1

The function name is "log3", not "log" alone, since the base matters.

It is NOT "log3^x", which would mean log3x\log3^x; x is not an exponent, but the argument of the function.

So the "parent" function is log3(x)\log_3(x).
 
The function name is "log3", not "log" alone, since the base matters.

It is NOT "log3^x", which would mean log3x\log3^x; x is not an exponent, but the argument of the function.

So the "parent" function is log3(x)\log_3(x).
So the parent function of y = 2e^x-3 would be e^x?
 
It would be helpful if you stated the definition of "parent function" you are using!
 
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