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

[JohhnyJOhhny]

y=log₃(x-2)+1

 

[Dr.Peterson]

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 \(\log3^x\); x is not an exponent, but the argument of the function.

So the "parent" function is \(\log_3(x)\).

 

[JohhnyJOhhny]

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

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

So the "parent" function is \(\log_3(x)\).

So the parent function of y = 2e^x-3 would be e^x?

 

[Dr.Peterson]

So the parent function of y = 2e^x-3 would be e^x?

Yes, and that's true whether you meant y = 2e^x-3 as you wrote, \(y = 2e^x-3\), or y = 2e^(x-3), which is \(y = 2e^{x-3}\).

 

[HallsofIvy]

It would be helpful if you stated the definition of "parent function" you are using!