# Thread: x and y intercepts of logarithmic equation

1. ## x and y intercepts of logarithmic equation

How would I solve the x and y intercepts of this and find its horizontal asymptotes:

$h(x)=log_2(x-1)+2$

2. Originally Posted by theevilp0ptart
How would I solve the x and y intercepts of this?

$h(x)=log_2(x-1)+2$

x-intercept ==> For what x, is h(x) = 0 ?

y-intercept ==> If x = 0, what is h(x)?

Can you try now?

3. Originally Posted by theevilp0ptart
How would I solve the x and y intercepts of this?

$h(x)=log_2(x-1)+2$
Double post

Originally Posted by theevilp0ptart
How would I solve the x and y intercepts of this and find its horizontal asymptotes:

$h(x)=log_2(x-1)+2$
x-intercept: Solve $0 = \log_2(x - 1) + 2$. Is there a real solution?

y-intercept: Substitute x = 0. Is there a real solution?

Horizontal asymptote: None.

Vertical asymptote: Solve x - 1 = 0 ......