Need help with log graphing question

[samuelryancampbell]

Suppose that G(x)=log(base4)(2x-2)-2

a. what is the domain? I believe it is (1,infinity)?
b.What is G(33) What point is on the graph of G?
c. If g(x)=2, what is x? What point is on the graph of G?
d. What is the zero of G?

I have no idea how to find b-d. can someone explain how I do this?

 

[MarkFL]

Hello, and welcome to FMH!

We are given the function:

[MATH]G(x)=\log_4(2x-2)-2[/MATH]
We need for the argument of the log function to be positive:

[MATH]2x-2>0[/MATH]
[MATH]2x>2[/MATH]
[MATH]x>1[/MATH]
So, you have correctly found the domain. Now for part b.

[MATH]G(33)=\log_4(2\cdot33-2)-2=?[/MATH]

 

[firemath]

Hello, and welcome to FMH!

We are given the function:

[MATH]G(x)=\log_4(2x-2)-2[/MATH]
We need for the argument of the log function to be positive:

[MATH]2x-2>0[/MATH]
[MATH]2x>2[/MATH]
[MATH]x>1[/MATH]
So, you have correctly found the domain. Now for part b.

[MATH]G(33)=\log_4(2\cdot33-2)-2=?[/MATH]

Did you double post?

 

[MarkFL]

Did you double post?

I see my post only once...do you see it twice?

 

[firemath]

I see my post only once...do you see it twice?

When you first posted, it was double. But now it's not. Probably just lag.

 

[Deleted member 4993]

Suppose that G(x)=log(base4)(2x-2)-2

a. what is the domain? I believe it is (1,infinity)?
b.What is G(33) What point is on the graph of G?
c. If g(x)=2, what is x? What point is on the graph of G?
d. What is the zero of G?

I have no idea how to find b-d. can someone explain how I do this?

You should know that, by definition:

log_x(y) = z \(\displaystyle \ \to \ \) x^z = y

Assuming G(x) and g(x) are same - Use this definition for (b - d)